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We prove universality of Tracy-Widom GUE fluctuations for directed polymers in $1+1$ dimensions in the intermediate disorder regime. Building on the Lindeberg replacement method of arXiv:2304.04871, we refine estimates for the measure of…

Probability · Mathematics 2025-09-29 Pranay Agarwal

Using a simple analytic model based on seed superposition we obtain the spectrum of microwave background perturbations induced by cosmic strings on all angular scales larger than about 2 armin. We assume standard recombination in an…

Astrophysics · Physics 2011-05-10 Leandros Perivolaropoulos

Some spatially homogeneous Bianchi type I cosmological models filled with homogeneous ``electric'' $p$-form fields are shown to mimic the never-ending oscillatory behaviour of generic string cosmologies established recently. The validity of…

High Energy Physics - Theory · Physics 2009-10-31 Thibault Damour , Marc Henneaux

Cosmological evolution of axionic strings is investigated by numerically solving field equations of a complex scalar field in 3+1 dimensions. It is shown that the global strings relax to the scaling solution with a significantly smaller…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masahide Yamaguchi , M. Kawasaki , Jun'ichi Yokoyama

The purpose of this paper is to give applications of the Eilenberg-Moore type spectral sequence converging to the relative loop homology algebra of a Gorenstein space, which is introduced in the previous paper due to the authors. Moreover,…

Algebraic Topology · Mathematics 2013-04-26 Katsuhiko Kuribayashi , Luc Menichi , Takahito Naito

In previous work, we have predicted novel effects, such as exchange broadening, anomalous scaling of the localization length and a blue shift of the absorption spectrum with increasing disorder strength, for static disorder models described…

Disordered Systems and Neural Networks · Physics 2012-11-26 A. Eisfeld , S. M. Vlaming , S. Möbius , V. A. Malyshev , J. Knoester

We consider the open string tachyon action in a world-sheet sigma model approach. We present explicit calculations up to order 8 in derivatives for the bosonic string, and mimic these to order 6 for the superstring, including terms with…

High Energy Physics - Theory · Physics 2007-05-23 Mark Laidlaw , Madoka Nishimura

For superstrings, the consequences of replacing the measure of integration $\sqrt{-\gamma}d^2 x$ in the Polyakov's action by $\Phi d^2 x$ where $\Phi$ is a density built out of degrees of freedom independent of the metric $\gamma_{ab}$…

High Energy Physics - Theory · Physics 2009-10-31 E. I. Guendelman

We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum $\{\pm \lambda_n\}$ satisfies $\lambda_{n+1}>3 \lambda_{n}$.

Classical Analysis and ODEs · Mathematics 2025-10-27 Felipe Gonçalves , João Paulo Ferreira

Superseded and extended in hep-th/0105110 and hep-th/0208112.

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri

We formulate matrix string models on a class of exact string backgrounds with non constant RR-flux parameterized by a holomorphic prepotential function and with manifest (2,2) supersymmetry. This lifts these string theories to M-theory…

High Energy Physics - Theory · Physics 2009-11-07 G. Bonelli

We investigate the excitation spectrum of a model of $N$ colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like…

Condensed Matter · Physics 2009-10-22 R. Z. Bariev , A. Klümper , A. Schadschneider , J. Zittartz

We present a combined analytical and numerical study of the effective action of field theory cosmic strings in the Abelian-Higgs model in flat space. Starting directly from the underlying solitonic field theory description, we provide a…

High Energy Physics - Theory · Physics 2026-03-06 Josu C. Aurrekoetxea , Jose J. Blanco-Pillado , Alberto García Martín-Caro , J. M. Queiruga

The closed form of the first order non-linear differential equation that is satisfied by the effective range within the variable phase formulation of scattering theory is discussed. It is shown that the conventional method of determining…

Atomic Physics · Physics 2007-05-23 H. Ouerdane , M. J. Jamieson

A general description of string excitations in stationary spacetimes is developed. If a stationary string passes through the ergosphere of a 4-dimensional black hole, its world-sheet describes a 2-dimensional black (or white) hole with…

High Energy Physics - Theory · Physics 2016-09-06 V. P. Frolov , A. L. Larsen

Using the Polchinski-Strominger effective string theory in covariant gauge, we compute the mass of a rotating string in D dimensions with large angular momenta J, in one or two planes, in fixed ratio, up to and including first subleading…

High Energy Physics - Theory · Physics 2015-03-25 Simeon Hellerman , Ian Swanson

We compare the predictions of the effective string description of confinement with a set of Montecarlo data for the 3d gauge Ising model at finite temperature. Thanks to a new algorithm which makes use of the dual symmetry of the model we…

High Energy Physics - Lattice · Physics 2014-11-17 M. Caselle , M. Hasenbusch , M. Panero

We calculate the excitation spectrumof closed k-strings in 2+1 dimensional SU(N) gauge theories for N = 4, 5 and k = 2. Our results demonstrate that the low-lying spectrum of the k = 2 string falls into sectors that belong to nearly pure…

High Energy Physics - Lattice · Physics 2010-01-21 Andreas Athenodorou , Barak Bringoltz , Michael Teper

The absolutely continuous spectrum of one-dimensional Schr\"odinger operators is proved to be stable under perturbation by potentials satisfying mild decay conditions. In particular, the absolutely continuous spectrum of free and periodic…

Spectral Theory · Mathematics 2016-09-07 Michael Christ , Alexander Kiselev

Exploiting the gauge/gravity correspondence we find the spectrum of hadronic-like bound states of adjoint particles with a large global charge in several confining theories. In particular, we consider an embedding of four-dimensional N=1…

High Energy Physics - Theory · Physics 2009-11-10 G. Bertoldi , F. Bigazzi , A. L. Cotrone , C. Nunez , L. A. Pando Zayas