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On asymptotic dimension of amalgamated products and right-angled Coxeter
groups | We prove the inequality $$ \as A\ast_CB\le\max\{\as A,\as B,\as C+1\} $$ and
we apply this inequality to show that the asymptotic dimension of any
right-angled Coxeter group does not exceed the dimension of its Davis' complex.
|
Invariance Mechanics - A new direction for quantum gravity | This paper has been withdrawn by the author.
|
Supersymmetric D-branes on SU(2) structure manifolds | We employ generalized complex geometry to investigate supersymmetric
embeddings of D-brane probes in a large class of SU(2) structure manifolds.
This class includes the gravity dual of mass deformation and marginal beta
deformation of N=4 SYM gauge theory. We find supersymmetric configurations of
D-branes with different dimensionality and propose their interpretation in the
dual gauge theory.
|
Inclusive Jet Cross-section measurement at CDF | Results on inclusive jet production in proton-antiproton collisions at
sqrt(s) =1.96 TeV based on 1 fb-1 of CDF Run II data are presented.
Measurements are preformed using the k_T algorithm in a wide range of jet
transverse momentum and jet rapidity. The measured cross sections are compared
to next-to-leading order perturbative QCD calculations.
|
Molecular Spiders in One Dimension | Molecular spiders are synthetic bio-molecular systems which have "legs" made
of short single-stranded segments of DNA. Spiders move on a surface covered
with single-stranded DNA segments complementary to legs. Different mappings are
established between various models of spiders and simple exclusion processes.
For spiders with simple gait and varying number of legs we compute the
diffusion coefficient; when the hopping is biased we also compute their
velocity.
|
Quantum propagator for some classes of three-dimensional three-body
systems | In this work we solve exactly a class of three-body propagators for the most
general quadratic interactions in the coordinates, for arbitrary masses and
couplings. This is done both for the constant as the time-dependent couplings
and masses, by using the Feynman path integral formalism. Finally the energy
spectrum and the eigenfunctions are recovered from the propagators.
|
On one master integral for three-loop on-shell HQET propagator diagrams
with mass | An exact expression for the master integral I_2 arising in three-loop
on-shell HQET propagator diagrams with mass is derived and its analytical
expansion in the dimensional regularization parameter epsilon is given.
|
Unparticle physics in e^+ e^- annihilation | In the recent past,unparticle physics effects have been explored in detail in
both the fermionic and bosonic sectors. We have used fermionic unparticles to
study the cross-section of electron-positron annihilation to light
pseudo-scalar meson pairs e^+e^- ->PP. We show that this cross-section is
sensitive to the scaling dimension d_U<1.4.
|
A geometric categorification of tensor products of $U_q(sl_2)$-modules | We give a purely geometric categorification of tensor products of
finite-dimensional simple $U_q(sl_2)$-modules and $R$-matrices on them. The
work is developed in the framework of category of perverse sheaves and the
categorification theorems are understood as consequences of Deligne's theory of
weights.
|
2D Heisenberg model from rotating membrane | We study a rotating probe membrane in S^3 inside AdS_4 x S^7 background of
M-theory. With (partial) gauge fixing, we show that in the fast limit the
worldvolume of tensionless membrane reduces to either the XXX_1/2 spin chain or
the two-dimensional SU(2) Heisenberg spin model. Later we introduce the
anisotropy and couple it to the external magnetic field. We also establish the
correspondence for higher dimensional (D)p-branes.
|
Confinement of monopole using flux string | We study the confinement of fermionic magnetic monopoles by a thin flux tube
of the Abelian Higgs model. Parity demands that the monopole currents be axial.
This implies that the model is consistent only if there are at least two
species of fermions being confined.
|
Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting
evolution | We consider the bosonic sl(2) sector of the maximally supersymmetric N=4 SYM
model and show that anomalous dimension of the twist-3 single-trace composite
operators built of scalar fields, recently calculated up to the four-loop
order, can be generated by a compact reciprocity respecting evolution kernel.
|
Integer Partitions and Exclusion Statistics | We provide a combinatorial description of exclusion statistics in terms of
minimal difference $p$ partitions. We compute the probability distribution of
the number of parts in a random minimal $p$ partition. It is shown that the
bosonic point $ p=0$ is a repulsive fixed point for which the limiting
distribution has a Gumbel form. For all positive $p$ the distribution is shown
to be Gaussian.
|
Generalized vector field | We define generalized vector fields, and contraction and Lie derivatives with
respect to them. Generalized commutators are also defined.
|
On star formation rate and turbulent dissipation in galactic models | The models of star formation function and of dissipation of turbulent energy
of interstellar medium are proposed. In star formation model the feedback of
supernovae is taken into account. It is shown that hierarchical scenario of
galaxy formation with proposed models is able to explain the observable star
formation pause in the Galaxy.
|
Floer homology and singular knots | We define Floer homology theories for oriented, singular knots in S^3 and
show that one of these theories can be defined combinatorially for planar
singular knots.
|
A duality theorem for generalized local cohomology | We prove a duality theorem for graded algebras over a field that implies
several known duality results : graded local duality, versions of Serre duality
for local cohomology and of Suzuki duality for generalized local cohomology,
and Herzog-Rahimi bigraded duality.
|
Non-CKM induced flavor violation in "minimal" SUSY SU(5) models | Patterns of flavor violation induced by neutrino Yukawa couplings are
discussed in realistic ``minimal'' SUSY SU(5) models, obtained by adding
nonrenormalizable operators to the minimal one, in order to fix the fermion
spectrum and suppress proton decay. Results are presented for the three
possible implementations of the seesaw mechanisms, i.e. of Type I, II and III.
|
On Asymptotic Proximity of Distributions | We consider some general facts concerning convergence P_{n}-Q_{n}\to 0 as
n\to \infty, where P_{n} and Q_{n} are probability measures in a complete
separable metric space. The main point is that the sequences {P_{n}} and
{Q_{n}} are not assumed to be tight. We compare different possible definitions
of the above convergence, and establish some general properties.
|
On Z-graded loop Lie algebras, loop groups, and Toda equations | Toda equations associated with twisted loop groups are considered. Such
equations are specified by Z-gradations of the corresponding twisted loop Lie
algebras. The classification of Toda equations related to twisted loop Lie
algebras with integrable Z-gradations is discussed.
|
Binary Search Tree insertion, the Hypoplactic insertion, and Dual Graded
Graphs | Fomin (1994) introduced a notion of duality between two graded graphs on the
same set of vertices. He also introduced a generalization to dual graded graphs
of the classical Robinson-Schensted-Knuth algorithm. We show how Fomin's
approach applies to the binary search tree insertion algorithm also known as
sylvester insertion, and to the hypoplactic insertion algorithm.
|
Finite dimensional representations of DAHA and affine Springers fibers :
the spherical case | We classify finite dimensional simple spherical representations of rational
double affine Hecke algebras, and we study a remarkable family of finite
dimensional simple spherical representations of double affine Hecke algebras.
|
Optimal 1->M universal quantum cloning via spin networks | We present a scheme that transform 1 qubit to M identical copies with optimal
fidedelity via free dynamical evolution of spin star networks. We show that the
Heisenberg XXZ coupling can fulfill the challenge. The initial state of the
copying machine and the parameters of the spin Hamiltonian are discussed in
detail. Furthermore we have proposed a feasible method to prepare the initial
state of the copying machine.
|
A Practical Seedless Infrared Safe Cone Algorithm | This writeup highlights the infrared unsafety of the "midpoint" cone
jet-algorithm and provides a brief overview of why this is a serious issue. It
then shows how one can build a safe (seedless) cone algorithm and discusses the
potential impact on measurements.
|
Prompt photons with associated jets in photoproduction at HERA | Prompt photons, together with an accompanying jet, have been studied in the
photoproduction regime of ep scattering with the ZEUS detector at HERA.
Predictions based on leading-logarithm parton-shower Monte Carlo models and
next-to-leading-order (NLO) QCD underestimate the gamma+jet cross sections for
transverse energies of prompt photons below 7 GeV, while the kT-factorisation
QCD calculation agrees with the data in this region.
|
A conic manifold perspective of elliptic operators on graphs | We give a simple, explicit, sufficient condition for the existence of a
sector of minimal growth for second order regular singular differential
operators on graphs. We specifically consider operators with a singular
potential of Coulomb type and base our analysis on the theory of elliptic cone
operators.
|
Log Fano varieties over function fields of curves | Consider a smooth log Fano variety over the function field of a curve.
Suppose that the boundary has positive normal bundle. Choose an integral model
over the curve. Then integral points are Zariski dense, after removing an
explicit finite set of points on the base curve.
|
Vibrational Coherences in Nano-Elastic Tunneling | Charging a nano-scale oscillator by single electron tunneling leads to an
effective double-well potential due to image charges. We combine exact
numerical diagonalizations with generalized Master equations and show that the
resulting quantum tunneling of the mechanical degree of freedom can be
visualized in the electronic current noise spectrum.
|
Tunneling of a composite particle: Effects of intrinsic structure | We consider simple models of tunneling of an object with intrinsic degrees of
freedom. This important problem was not extensively studied until now, in spite
of numerous applications in various areas of physics and astrophysics. We show
possibilities of enhancement for the probability of tunneling due to the
presence of intrinsic degrees of freedom split by weak external fields or by
polarizability of the slow composite object.
|
Entropy of the Randall-Sundrum black brane world to all orders in the
Planck length | We study the effects, to all orders in the Planck length from a generalized
uncertainty principle (GUP), on the statistical entropy of massive scalar bulk
fields in the Randall-Sundrum black brane world. We show that the
Bekenstein-Hawking area law is not preserved, and contains small corrections
terms proportional to the black hole inverse area.
|
Real Zeros and Partitions without singleton blocks | We prove that the generating polynomials of partitions of an $n$-element set
into non-singleton blocks, counted by the number of blocks, have real roots
only and we study the asymptotic behavior of the leftmost roots. We apply this
information to find the most likely number of blocks.
|
Rigidity of pseudo-Anosov flows transverse to R-covered foliations | A foliation is R-covered if the leaf space in the universal cover is
homeomorphic to the real numbers. We show that, up to topological conjugacy,
there are at most two pseudo-Anosov flows transverse to such a foliation. If
there are two, then the foliation is weakly conjugate to the the stable
foliation of an R-covered Anosov flow. The proof uses the universal circle to
R-covered foliations.
|
Generalized functions as sequence spaces with ultranorms | We review our recent formulation of Colombeau type algebras as Hausdorff
sequence spaces with ultranorms, defined by sequences of exponential weights.
We extend previous results and give new perspectives related to echelon type
spaces, possible generalisations, asymptotic algebras, concepts of association,
and applications thereof.
|
Two field BPS solutions for generalized Lorentz breaking models | In this work we present nonlinear models in two-dimensional space-time of two
interacting scalar fields in the Lorentz and CPT violating scenarios. We
discuss the soliton solutions for these models as well as the question of
stability for them. This is done by generalizing a model recently published by
Barreto and collaborators and also by getting new solutions for the model
introduced by them.
|
Stopping Power from SPS to LHC energies | We investigate the energy dependence of hadron production and of stopping
power based on HIJING/BBbar v2.0 model calculations. Pseudorapidity spectra and
transverse momentum distributions for produced charged particles as well as net
baryons (per pair of partcipants) and their rapidity loss are compared to data
at RHIC and predictions for LHC energies are discussed.
|
Euclidean Wormholes in String Theory | We show that toroidal compactification of type II string theory to six
dimensions admits axionic euclidean wormhole solutions. These wormholes can be
inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a
well-defined CFT dual. AdS/CFT duality then suggests that the wormhole
solutions cannot be interpreted using $\alpha$ parameters as originally
suggested by Coleman.
|
LENS as a Probe of Sterile Neutrino Mediated Oscillations | Sterile neutrino ($\nu_s$) conversion in meter scale baselines can be
sensitively probed using mono-energetic, sub-MeV, flavor pure $\nu_e$'s from an
artificial MCi source and the unique technology of the LENS low energy solar
$\nu_e$ detector. Active-sterile {\em oscillations} can be directly observed in
the granular LENS detector itself to critically test and extend results of
short baseline accelerator and reactor experiments.
|
Exact analytical expression for the electromagnetic field in a focused
laser beam or pulse | We present a new class of exact nonsingular solutions for the Maxwell
equations in vacuum, which describe the electromagnetic field of the
counterpropagating focused laser beams and the subperiod focused laser pulse.
These solutions are derived by the use of a modification of the "complex source
method", investigated and visualized.
|
The return of the four- and five-dimensional preons | We prove the existence of 3/4-BPS preons in four- and five-dimensional gauged
supergravities by explicitly constructing them as smooth quotients of the AdS_4
and AdS_5 maximally supersymmetric backgrounds, respectively. This result
illustrates how the spacetime topology resurrects a fraction of supersymmetry
previously ruled out by the local analysis of the Killing spinor equations.
|
Observation of a quenched moment of inertia in a rotating strongly
interacting Fermi gas | We make a model-independent measurement of the moment of inertia of a
rotating, expanding strongly-interacting Fermi gas. Quenching of the moment of
inertia is observed for energies both below and above the superfluid
transition. This shows that a strongly interacting Fermi gas with angular
momentum can support irrotational flow in both the superfluid and collisional
normal fluid regimes.
|
Log-periodic drift oscillations in self-similar billiards | We study a particle moving at unit speed in a self-similar Lorentz billiard
channel; the latter consists of an infinite sequence of cells which are
identical in shape but growing exponentially in size, from left to right. We
present numerical computation of the drift term in this system and establish
the logarithmic periodicity of the corrections to the average drift.
|
Abstract Convexity and Cone-Vexing Abstractions | This talk is a write-up on some origins of abstract convexity and afew vexing
limitations on the range of abstraction in convexity.
|
Maximal hypoellipticity and Dolbeault cohomology representations for
U(p,q) | Let Y=G/L be a flag manifold for a reductive G and K a maximal compact
subgroup of G. We define an equivariant differential operator on G/(L cap K)
playing the role of an equivariant Dolbeault Laplacian when restricted to the
complex manifold G/L, using a distribution transverse to the fibers and
satisfying the Hormander condition. We prove here that this operator is not
maximal hypoelliptic when G=U(p,q).
|
On Asymptotics of $q$-Gamma Functions | In this paper we derive some asymptotic formulas for the $q$-Gamma function
$\Gamma_{q}(z)$ for $q$ tending to 1.
|
Decoding of scroll codes | We define and study a class of codes obtained from scrolls over curves of any
genus over finite fields. These codes generalize Goppa codes in a natural way,
and the orthogonal complements of these codes belong to the same class. We show
how syndromes of error vectors correspond to certain vector bundle extensions,
and how decoding is associated to finding destabilizing subbundles.
|
Entropy Oriented Trading: A Trading Strategy Based on the Second Law of
Thermodynamics | The author proposes a finance trading strategy named Entropy Oriented Trading
and apply thermodynamics on the strategy. The state variables are chosen so
that the strategy satisfies the second law of thermodynamics. Using the law,
the author proves that the rate of investment (ROI) of the strategy is equal to
or more than the rate of price change.
|
Sinc Approximation of the Heat Distribution on the Boundary of a
Two-Dimensional Finite Slab | We consider the two-dimensional problem of recovering globally in time the
heat distribution on the surface of a layer inside of a heat conducting body
from two interior temperature measurements. The problem is ill-posed. The
approximation function is represented by a two-dimensional Sinc series and the
error estimate is given.
|
Laguerre polynomials and the inverse Laplace transform using discrete
data | We consider the problem of finding a function defined on $(0,\infty)$ from a
countable set of values of its Laplace transform. The problem is severely
ill-posed. We shall use the expansion of the function in a series of Laguerre
polynomials to convert the problem in an analytic interpolation problem. Then,
using the coefficients of Lagrange polynomials we shall construct a stable
approximation solution.
|
The contact invariant in sutured Floer homology | We describe an invariant of a contact 3-manifold with convex boundary as an
element of Juh\'asz's sutured Floer homology. Our invariant generalizes the
contact invariant in Heegaard Floer homology in the closed case, due to
Ozsv\'ath and Szab\'o.
This version has some clarifications and new figures.
|
Integrable discrete Schrodinger equations and a characterization of Prym
varieties by a pair of quadrisecants | We prove that Prym varieties are characterized geometrically by the existence
of a symmetric pair of quadrisecant planes of the associated Kummer variety. We
also show that Prym varieties are characterized by certain (new)
theta-functional equations. For this purpose we construct and study a
difference-differential analog of the Novikov-Veselov hierarchy.
|
Optical Solitons in an Anisotropic Medium with Arbitrary Dipole Moments | We find the Lax pair for a system of reduced Maxwell-Bloch equations that
describes the propagation of two-component extremely short electromagnetic
pulses through the medium containing two-level quantum particles with arbitrary
dipole moments.
|
Local Existence for Nonlinear Wave Equation with Radial Data in 2+1
Dimensions | We get a local existence result in $H^s$ with $s>3/2$ for second order
quasilinear wave equation with radial initial data in 2+1 dimensions, based on
an improvement of Strichartz estimate in the radial case. Moreover, we get the
corresponding local well-posed result for semilinear wave equation. The
required index of regularity here is 1/4 less than the index 7/4, which is
essentially sharp in general.
|
Boltzmann Entropy : Probability and Information | We have presented first an axiomatic derivation of Boltzmann entropy on the
basis of two axioms consistent with two basic properties of thermodynamic
entropy. We have then studied the relationship between Boltzmann entropy and
information along with its physical significance.
|
Searches for non-Standard-Model Higgs Bosons at the Tevatron | Search for non-Standard-Model Higgs bosons is one of the major goals of the
ongoing Fermilab Tevatron run. Large data sets accumulated by the CDF and D0
experiments break new grounds in sensitivity. We review recent Tevatron results
on searches for Higgs bosons in Minimal Supersymmetric Model in the multi b-jet
and tau-tau final states, as well as a search for fermiophobic Higgs in the
multiphoton final state.
|
Note About Integrability and Gauge Fixing for Bosonic String on
AdS(5)xS(5) | This short note is devoted to the study of the integrability of the bosonic
string on AdS(5)xS(5) in the uniform light-cone gauge. We construct Lax
connection for gauge fixed theory and we argue that it is flat.
|
Cryptanalysis of group-based key agreement protocols using subgroup
distance functions | We introduce a new approach for cryptanalysis of key agreement protocols
based on noncommutative groups. This approach uses functions that estimate the
distance of a group element to a given subgroup. We test it against the
Shpilrain-Ushakov protocol, which is based on Thompson's group F.
|
On the reproducing kernel Hilbert spaces associated with the fractional
and bi-fractional Brownian motions | We present decompositions of various positive kernels as integrals or sums of
positive kernels. Within this framework we study the reproducing kernel Hilbert
spaces associated with the fractional and bi-fractional Brownian motions. As a
tool, we define a new function of two complex variables, which is a natural
generalization of the classical Gamma function for the setting we consider
|
Continuous selections and sigma-spaces | Assume that X is a metrizable separable space, and each clopen-valued lower
semicontinuous multivalued map Phi from X to Q has a continuous selection. Our
main result is that in this case, X is a sigma-space. We also derive a partial
converse implication, and present a reformulation of the Scheepers Conjecture
in the language of continuous selections.
|
A simple extension of Stollmann's lemma to correlated potentials | We propose a fairly simple and natural extension of Stollmann's lemma to
correlated random variables. This extension allows (just as the original
Stollmann's lemma does) to obtain Wegner-type estimates even in some problems
of spectral analysis of random operators where the Wegner's lemma is
inapplicable (e.g. for multi-particle Hamiltonians).
|
Wind instability of a foam layer sandwiched between the atmosphere and
the ocean | Wind shortwave instability of a foam layer between the atmosphere and the
ocean is examined in order to reach greater understanding of the recent
findings of the decrease in momentum transfer from hurricane winds to sea
waves. The three-fluid configuration with the high contrasts in densities of
the air, foam and water provides for an effective mechanism to stabilize the
water surface.
|
On Transformations of the Rabelo Equations | We study four distinct second-order nonlinear equations of Rabelo which
describe pseudospherical surfaces. By transforming these equations to the
constant-characteristic form we relate them to some well-studied integrable
equations. Two of the Rabelo equations are found to be related to the
sine-Gordon equation. The other two are transformed into a linear equation and
the Liouville equation, and in this way their general solutions are obtained.
|
Anisotropy and asymmetry in fully developed turbulence | Using experimental longitudinal and transverse velocities data for very high
Reynolds number turbulence, we study both anisotropy and asymmetry of
turbulence. These both seem to be related to small scale turbulent structures,
and to intermittency. We may assume that the large scale velocity shear gives
an impact into the small scale turbulence, resulting in non-locality, and
related anomalous events.
|
Weakly commensurable arithmetic groups, lengths of closed geodesics and
isospectral locally symmetric spaces | We introduce the notion of weak commensurabilty of arithmetic subgroups and
relate it to the length equivalence and isospectrality of locally symmetric
spaces. We prove many strong consequences of weak commensurabilty and derive
from these many interesting results about isolength and isospectral locally
symmetric spaces.
|
Search for Supersymmetry at the Tevatron | This paper reviews some of the most recent results from CDF and D0
experiments on searches for supersymmetry (SUSY) at the Tevatron. We focus on
searches for chargino/neutralino, stop, sbottom, and long lived massive SUSY
particles, on data samples up to ~1 fb-1. No signal was observed, and
constraints are set on the SUSY parameter space.
|
Bottomonium and Charmonium at CLEO | The bottomonium and charmonium systems have long proved to be a rich source
of QCD physics. Recent CLEO contributions in three disparate areas are
presented: (1) the study of quark and gluon hadronization using $\Upsilon$
decays; (2) the interpretation of heavy charmonium states, including
non-$c\bar{c}$ candidates; and (3) the exploration of light quark physics using
the decays of narrow charmonium states as a well-controlled source of light
quark hadrons.
|
Lepton Flavor Violating Photoleptonic Effect | We study lepton flavor violating analogs of the photoelectric effect, with a
final $\mu$ or $\tau$ instead of an electron: $\gamma e\to \mu$ and $\gamma
e\to \tau$. On the basis of the general parametrization of the matrix element
of the electromagnetic current we estimate the upper limits for the cross
sections and event rates of these processes, imposed by the current
experimental bounds on $\mu\to e \gamma$ and $\tau\to e \gamma$ decays.
|
Baryonic B Meson Decays | Recent results on baryonic B decays from the two b-factories, BABAR and
Belle, are presented. These include studies of B+ to p pbar pi+, B+ to p
Lambdabar gamma and B0 to p Lambdabar pi-; observations of B+ to p Lambdabar
pi0, B to Lambda_c+ Lambda_c- K, and B+ to Xibar0_c Lambda_c+; and study of the
inclusive B decays to Lambda_c.
|
Latest Jet Results from the Tevatron | Recent QCD jet production measurements in p-pbar collisions at sqrt(s)=1.96
TeV at the Tevatron Collider at Fermilab are presented. Preliminary: inclusive
jet, dijet, isolated photon + jet and Z + jets measurements are compared to
available perturbative QCD models.
|
Functional analytic background for a theory of infinite-dimensional
reductive Lie groups | Motivated by the interesting and yet scattered developments in representation
theory of Banach-Lie groups, we discuss several functional analytic issues
which should underlie the notion of infinite-dimensional reductive Lie group:
norm ideals, triangular integrals, operator factorizations, and amenability.
|
W mass and width measurements at the Tevatron | I present a measurement of the W boson mass (M_W) and width (G_W) using 200
and 350 pb-1 of CDF Run II data respectively. The measurements, performed in
both the electron and muon decay channels, rely on a fit to the W transverse
mass distribution. We measure M_W = 80413 +/- 48 MeV and G_W = 2032 +/- 71 MeV
which represent the world's single most precise measurements to date.
|
Stably isomorphic dual operator algebras | We prove that two unital dual operator algebras A, B are stably isomorphic if
and only if they are Delta-equivalent, if and only if they have completely
isometric normal representations a, b on Hilbert spaces H, K respectively and
there exists a ternary ring of operators M \subset B(H,K) such that a(A)=[M*
b(B) M]^{-w^*} and b(B)=[M a(A) M*]^{-w^*}.
|
Inductive characterizations of hyperquadrics | We give two characterizations of hyperquadrics: one as non-degenerate smooth
projective varieties swept out by large dimensional quadric subvarieties
passing through a point; the other as $LQEL$-manifolds with large secant
defects.
|
Magnetized Quark and Strange Quark Matter in the Spherical Symmetric
Space-Time Admitting Conformal Motion | This paper has been removed by arXiv administrators because it plagiarizes
astro-ph/0611537, astro-ph/0506256, astro-ph/0203033, astro-ph/0311128,
gr-qc/0505144, astro-ph/0611460, and astro-ph/0610840.
|
Fluctuations of the one-dimensional asymmetric exclusion process using
random matrix techniques | The studies of fluctuations of the one-dimensional Kardar-Parisi-Zhang
universality class using the techniques from random matrix theory are reviewed
from the point of view of the asymmetric simple exclusion process. We explain
the basics of random matrix techniques, the connections to the polynuclear
growth models and a method using the Green's function.
|
Micro-Macro Duality and Emergence of Macroscopic Levels | The mutual relation between quantum Micro and classical Macro is clarified by
a unified formulation of instruments describing measurement processes and the
associated amplification processes, from which some perspective towards a
description of emergence processes of spacetime structure is suggested.
|
Vacuum Expectation Values of the Quantum Fields | The new axiomatic system for the quantum field theory is proposed. The new
axioms are the description of the distributions. For the finite series these
distributions satisfy the linear Wightman axioms.
|
Analytic geometry and semi-classical analysis | Expository paper on the relations between perturbation theory of
pseudo-differential operators, finiteness theorems and deformations of
Lagrangian varieties.
|
Luttinger Liquid in the Core of Screw Dislocation in Helium-4 | On the basis of first-principle Monte Carlo simulations we find that the
screw dislocation along the hexagonal axis of an hcp He4 crystal features a
superfluid core. This is the first example of a regular quasi-one-dimensional
supersolid, and one of the cleanest cases of a regular Luttinger-liquid system.
In contrast, the same type of screw dislocation in solid Hydrogen is
insulating.
|
Summary Talk: Challenges in Particle Astrophysics | A summary of the session on Particle Astrophysics at the Rencontre de
Vietnam, 2006.
|
On the Definitions of Difference Galois Groups | We compare several definitions of the Galois group of a linear difference
equation that have arisen in algebra, analysis and model theory and show, that
these groups are isomorphic over suitable fields. In addition, we study
properties of Picard-Vessiot extensions over fields with not necessarily
algebraically closed subfields of constants.
|
Self-Averaging Identities for Random Spin Systems | We provide a systematic treatment of self-averaging identities for various
spin systems. The method is quite general, basically not relying on the nature
of the model, and as a special case recovers the Ghirlanda-Guerra and
Aizenman-Contucci identities, which are therefore proven, together with their
extension, to be valid in a vaste class of spin models. We use the dilute spin
glass as a guiding example.
|
On the energy of physical states in QED in the convariant gauge | In quantum field theory it is generally assumed that there is a lower bound
to the energy of a quantum state. Here, it will be shown that there is no lower
bound to the energy of physical states in QED in a manifestly covariant gauge.
|
Geometric Transition as a Change of Polarization | Taking the results of hep-th/0702110 we study the Dijkgraaf-Vafa open/closed
topological string duality by considering the wavefunction behavior of the
partition function. We find that the geometric transition associated with the
duality can be seen as a change of polarization.
|
Fine-Tuning in Brane-antibrane Inflation | I give a brief overview of brane-antibrane inflation, with emphasis on the
problems of tuning to get a flat potential in the KKLMMT framework, and recent
work on the nature of superpotential corrections in that model.
|
Hjj production: Signals and CP measurements | Higgs boson production in association with two tagging jets will be mediated
by electroweak vector boson fusion and by gluon fusion. For the gluon fusion
process, analysis of the azimuthal angle correlations of the two jets provides
for a direct measurement of the CP-nature of the $Htt$ Yukawa coupling which is
responsible for the effective $Hgg$ vertex.
|
Hawking Radiation of Black Rings from Anomalies | We derive Hawking radiation of 5-dimensional black rings from gauge and
gravitational anomalies using the method proposed by Robinson and Wilczek. We
find as in the black hole case, the problem could reduce to a (1+1) dimensional
field theory and the anomalies result in correct Hawking temperature for
neutral,dipole and charged black rings.
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BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic
Operators | We discuss a general procedure to obtain 1/2 BPS partition functions for
generic N=1 quiver gauge theories. These functions count the gauge invariant
operators (bosonic and fermionic), charged under all the global symmetries
(mesonic and baryonic), in the chiral ring of a given quiver gauge theory. In
particular we discuss the inclusion of the spinor degrees of freedom in the
partition functions.
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Absolute Calibration of Analog Detectors by using Parametric Down
Conversion | In this paper we report our systematic study of a promising absolute
calibration technique of analog photo-detectors, based on the properties of
parametric down conversion. Our formal results and a preliminary uncertainty
analysis show that the proposed method can be effectively developed with
interesting applications to metrology.
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Comment on ``Nontrivial Geometries: Bounds on the Curvature of the
Universe'' | The paper 0705.0332v1 seeks to study the effect of non-trivial spatial
curvature in homogeneous and isotropic models. We note that the space
considered is not homogeneous, and that the equations of motion used are
inconsistent with the metric. Also, we explain why the spatial curvature of
homogeneous and isotropic spacetimes always evolves like 1/a^2, contrary to the
central assumption of 0705.0332v1.
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Measurements of CKM Angle Beta from BABAR | We present recent results of hadronic B meson decays related to the CKM angle
beta. The data used were collected by the BABAR detector at the pepII
asymmetric-energy e+e- collider operating at the Upsilon(4S) resonance located
at the Stanford Linear Accelerator Center.
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An action of the cactus group | We construct an action of the big cactus group (the fundamental group of the
Deligne-Mumford compactification of the moduli space of real curves of genus
zero with n undistinguished marked points) on Fock-Goncharov's SL_m analog of
the decorated Teichmuller space of ideal n-gons.
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Integral group ring of the McLaughlin simple group | We consider the Zassenhaus conjecture for the normalized unit group of the
integral group ring of the McLaughlin sporadic group McL. As a consequence, we
confirm for this group the Kimmerle's conjecture on prime graphs.
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Measurements of B Rare Decays at the Tevatron | A summary of recent results on B rare decays from the CDF and D0 experiments
operating in Run II of the Fermilab Tevatron is given; analyzed decay modes are
B_{d,s}--> hh, B_{d,s}--> mu^{+}mu^{-}, and B--> mu^{+} mu^{-}h. Data samples
are relative to 1 fb^{-1} or more integrated luminosity of p-pbar collisions at
sqrt(s) = 1.96 TeV. All reported results are in agreement with Standard Model
predictions and consistent with B-Factories analyzes.
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Discrete Tomography of Icosahedral Model Sets | The discrete tomography of B-type and F-type icosahedral model sets is
investigated, with an emphasis on reconstruction and uniqueness problems. These
are motivated by the request of materials science for the unique reconstruction
of quasicrystalline structures from a small number of images produced by
quantitative high resolution transmission electron microscopy.
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Integral group ring of Rudvalis simple group | Using the Luthar-Passi method, we investigate the classical Zassenhaus
conjecture for the normalized unit group of the integral group ring of the
Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm
Kimmerle's conjecture on prime graphs.
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Revisiting Boole Equation in the Quantum Context | In this work we try to clarify the fundamental relationship between bits and
qubits, starting from very simple George Boole equation. We derive a generic
and compact expression for basis vectors of qubit which can be useful in
further applications. We also derive a generic form for the projection operator
in the quantum information space. The results are also extended to higher
d-level cases of qutrits and qudits.
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Curve shortening and the topology of closed geodesics on surfaces | We study "flat knot types" of geodesics on compact surfaces M^2. For every
flat knot type and any Riemannian metric g we introduce a Conley index
associated with the curve shortening flow on the space of immersed curves on
M^2. We conclude existence of closed geodesics with prescribed flat knot types,
provided the associated Conley index is nontrivial.
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Necessary and sufficient conditions for solvability of the
Hartman-Wintner problem for difference equations | For homogeneous difference equation of the second order we study the analogy
of Hartman-Wintner problem on asymptotic integration of fundamental system of
solutions as argument tends to infinity.
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Review of the FoPL paper [1] The Evans Lemma of Differential Geometry | The Evans Lemma is basic for Myron W. Evans' GCUFT or ECE Theory. Evans has
given two proofs of his Lemma. Both proofs are shown here to be in error and
beyond repair.
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On the possible void decay in free-electron laser sase-fel experiment | In this paper the motion of ultrahigh energy particles produced in sasefel is
investigated. The critical field which opose the acceleration of the ultra high
energy particles is calculated
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