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An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is briefly reviewed. These fields play the role of the confining medium for color…

High Energy Physics - Phenomenology · Physics 2016-05-18 Sergei N. Nedelko , Vladimir E. Voronin

We study four dimensional non-abelian gauge theories with classical moduli. Introducing a chemical potential for a flavor charge causes moduli to become unstable and start condensing. We show that the moduli condensation in the presence of…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , Junji Jia , V. A. Miransky

We consider the classical equations of motion for a single Galileon field with generic parameters in the presence of non-relativistic sources. We introduce the concept of absolute stability of a theory: if one can show that a field at a…

High Energy Physics - Theory · Physics 2015-05-28 Solomon Endlich , Junpu Wang

In terms of the de Broglie-Bohm pilot-wave formulation of quantum theory, we develop field-theoretical models of quantum nonequilibrium systems which could exist today as relics from the very early universe. We consider relic excited states…

High Energy Physics - Theory · Physics 2015-10-12 Nicolas G. Underwood , Antony Valentini

In this paper, we study modulus of continuity and rate of convergence of series of conditionally sub-Gaussian random fields. This framework includes both classical series representations of Gaussian fields and LePage series representations…

Statistics Theory · Mathematics 2015-07-29 Hermine Biermé , Céline Lacaux

We discuss space-time chaos and scaling properties for classical non-Abelian gauge fields discretized on a spatial lattice. We emphasize that there is a ``no go'' for simulating the original continuum classical gauge fields over a long time…

High Energy Physics - Theory · Physics 2008-02-03 Holger Bech Nielsen , Hans Henrik Rugh , Svend Erik Rugh

We discuss a possibility of the presence of a stable color ferromagnetic state in SU(2) gauge theory of quark matter; a color magnetic field is spontaneously generated due tothe gluon's dynamics. The state arises between the hadronic state…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Iwazaki

Thermalization of quark-gluon plasmas in heavy-ion collisions is a difficult theoretical problem. One theoretical goal has been to understand the physics of thermalization in the relatively simplifying limit of arbitrarily high energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Peter Arnold , Guy D. Moore

This article studies a class of semilinear scalar field equations on the real line with variable coefficients in the linear terms. These coefficients are not necessarily small perturbations of a constant. We prove that under suitable…

Analysis of PDEs · Mathematics 2023-08-15 Mashael Alammari , Stanley Snelson

In this paper we extend the analysis of the stability of an homogeneous black string in the presence of a negative cosmological constant with minimally coupled scalar fields. We recall the linear stability of this solutions under generic…

High Energy Physics - Theory · Physics 2022-02-10 Carla Henríquez-Báez

Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become unstable in the presence of background fields. Examples include the instability of a photon with a time-dependent axion background or with a chirality imbalance,…

High Energy Physics - Theory · Physics 2022-11-08 Naoki Yamamoto , Ryo Yokokura

We show that a special choice of light-cone gauge can greatly simplify the calculation of the classical color field created in the initial stages of nucleus-nucleus collisions. Within this gauge, we can in particular construct explicitly…

High Energy Physics - Phenomenology · Physics 2009-02-02 Jean-Paul Blaizot , Yacine Mehtar-Tani

We study the dynamics of an electron subjected to a static uniform electric field within a one-dimensional tight-binding model with a slowly varying aperiodic potential. The unbiased model is known to support phases of localized and…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , M. L. Lyra , F. Dominguez-Adame , V. A. Malyshev

A class of asymptotically autonomous systems on the plane with oscillatory coefficients is considered. It is assumed that the limiting system is Hamiltonian with a stable equilibrium. The effect of damped multiplicative stochastic…

Dynamical Systems · Mathematics 2023-06-14 Oskar A. Sultanov

We investigate the Schwinger effect for the gauge bosons in an unbroken non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant "color electric" fields and "color magnetic" fields as backgrounds. As in the Abelian…

High Energy Physics - Theory · Physics 2017-09-01 Michael Ragsdale , Douglas Singleton

This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative…

Dynamical Systems · Mathematics 2011-04-08 Ivo Petras

The general question of how a beam becomes unstable has been one of the fundamental research topics among beam and accelerator physicists for several decades. In this study, we revisited the general problem of linear beam stability in…

Accelerator Physics · Physics 2020-03-18 Moses Chung , Yoolim Cheon , Hong Qin

Westudythebehaviourofisocurvatureperturbationsinnon-linearsigmamodels which naturally emerge in supergravity and string inflationary scenarios. We focus on the case of negatively curved field manifolds which can potentially lead to a…

High Energy Physics - Theory · Physics 2019-03-05 Michele Cicoli , Veronica Guidetti , Francisco G. Pedro , Gian Paolo Vacca

Based on hep-ph/0510121, we discuss further the numerical study of classical SU(2) 3+1-D Yang-Mills equations for matter produced in a high energy heavy ion collision. The growth of the amplitude of fluctuations as $\exp{(\Gamma…

High Energy Physics - Phenomenology · Physics 2009-11-11 Paul Romatschke , Raju Venugopalan

We discuss the quantization of an unstable field through the construction of a "one-particle Hilbert space." The system considered here is a neutral scalar field evolving over a globally hyperbolic static spacetime and subject to a…

General Relativity and Quantum Cosmology · Physics 2017-01-12 William C. C. Lima