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Related papers: Timelike Boundary Sine-Gordon Theory and Two-Compo…

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In a previous paper, we have developed a general theory of thermodynamic limits. We apply it here to three different Coulomb quantum systems, for which we prove the convergence of the free energy per unit volume. The first system is the…

Mathematical Physics · Physics 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

This paper presents a unified formulation of the origin of the arrow of time in classical and quantum mechanics. We begin with a mechanical analysis of a one-dimensional three-particle system, which provides a concrete example in which…

Statistical Mechanics · Physics 2025-12-19 Shuhei Kobayashi

Dealing with a generic time-local non-Markovian master equation, we define current and power to be process-dependent as in classical thermodynamics. Each process is characterized by a symmetry transformation, a gauge of the master equation,…

Quantum Physics · Physics 2023-08-01 Fernando Nicacio , Raphael N. P. Maia

The classical two-dimensional one-component plasma is an exactly solvable model, at some special temperature, even when the one-body potential acting on the particles has a quadrupolar term. As a supplement to a recent work of Di Francesco,…

Condensed Matter · Physics 2015-06-25 P. J. Forrester , B. Jancovici

We consider the cosmology of a ``3-brane universe'' in a five dimensional (bulk) space-time with a cosmological constant. We show that Einstein's equations admit a first integral, analogous to the first Friedmann equation, which governs the…

High Energy Physics - Theory · Physics 2009-10-07 Pierre Binetruy , Cedric Deffayet , Ulrich Ellwanger , David Langlois

We show that the real massive Klein-Gordon theory admits a description in terms of states on various timelike hypersurfaces and amplitudes associated to regions bounded by them. This realizes crucial elements of the general boundary…

High Energy Physics - Theory · Physics 2008-11-26 Robert Oeckl

A brane universe derived from the Randall-Sundrum models is considered in which an additional Misner-like periodicity is introduced in the extra direction. This model solves the ambiguity in the choice of the brane world by identifying the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

We study inhomogeneous quantum quenches in the attractive regime of the sine-Gordon model. In our protocol, the system is prepared in an inhomogeneous initial state in finite volume by coupling the topological charge density operator to a…

Strongly Correlated Electrons · Physics 2022-05-04 D. X. Horváth , M. Kormos , S. Sotiriadis , G. Takács

We present an exact field theoretical representation of the statistical mechanics of classical hard-core Coulomb systems. This approach generalizes the usual sine-Gordon theory valid for point-like charges or lattice systems to continuous…

Statistical Mechanics · Physics 2007-05-23 J. -M. Caillol , J. -L. Raimbault

The quantization of the family of linearly polarized Gowdy $T^3$ spacetimes is discussed in detail, starting with a canonical analysis in which the true degrees of freedom are described by a scalar field that satisfies a Klein-Gordon type…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alejandro Corichi , Jeronimo Cortez , Guillermo A. Mena Marugan

A general nonequilibrium thermodynamic theory is developed for time-dependent Langevin dynamics, starting from the common definition of nonequilibrium Gibbs entropy. It is shown that the notations appearing in the First and the Second Law…

Statistical Mechanics · Physics 2009-04-15 Hao Ge

Motivated by the recently developed duality between elasticity of a crystal and a symmetric tensor gauge theory by Pretko and Radzihovsky, we explore its classical analog, that is a dual theory of the dislocation-mediated melting of a…

Statistical Mechanics · Physics 2019-10-09 Zhengzheng Zhai , Leo Radzihovsky

Symmetric Space Sine-Gordon theories are two-dimensional massive integrable field theories, generalising the Sine-Gordon and Complex Sine-Gordon theories. To study their integrability properties on the real line, it is necessary to…

High Energy Physics - Theory · Physics 2024-01-30 Francois Delduc , Ben Hoare , Marc Magro

We derive a general energy balance equation for a self-interacting boson gas at vanishing temperature in a curved spacetime. This represents a first step towards a formulation of the first law of thermodynamics for a scalar field in general…

General Relativity and Quantum Cosmology · Physics 2021-03-04 Tonatiuh Matos , Ana Avilez , Tula Bernal , Pierre-Henri Chavanis

For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a finite…

Quantum Gases · Physics 2016-06-08 R. van den Berg , B. Wouters , S. Eliëns , J. De Nardis , R. M. Konik , J. -S. Caux

We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

Soft Condensed Matter · Physics 2016-03-24 Ladislav Samaj , E. Trizac

Unstable D-branes are central objects in string theory, and exist also in time-dependent backgrounds. In this paper we take first steps to studying brane decay in spacetime orbifolds. As a concrete model we focus on the R^{1,d}/Z_2…

High Energy Physics - Theory · Physics 2008-11-26 Shinsuke Kawai , Esko Keski-Vakkuri , Robert G. Leigh , Sean Nowling

The vacuum structure is probed by boundary conditions. The behaviour of thermodynamical quantities like free energy, boundary entropy and entanglement entropy under the boundary renormalization group flow are analysed in 2D conformal field…

High Energy Physics - Theory · Physics 2008-11-26 M. Asorey , J. M. Munoz-Castaneda

A rich variety of brane cosmologies is obtained once one allows for energy exchange between the brane and the bulk, depending on the precise form of energy transfer, on the equation of state of matter on the brane and on the spatial…

High Energy Physics - Theory · Physics 2007-05-23 Theodore N. Tomaras

We use matrix model results to investigate the Sine-Gordon model coupled to two dimensional gravity. For relevant (in the RG sense) potentials, we show that the $c=1$ string, which appears in the ultraviolet limit of this model, flows to a…

High Energy Physics - Theory · Physics 2009-10-22 Edward Hsu , David Kutasov