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This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature…

High Energy Physics - Theory · Physics 2020-06-10 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

We investigate thermodynamic properties of quantum electrodynamics in 1+1 dimensions (QED$_{1+1}$) utilizing light front dynamics. Therefore we derive the partition function of the canonical ensemble in discrete light cone quantization, and…

High Energy Physics - Theory · Physics 2008-11-26 S. Strauss , M. Beyer

The partition function of two-dimensional solitons in a heat bath of mesons is worked out to one-loop. For temperatures large compared to the meson mass, the free energy is dominated by the meson-soliton bound states and the zero modes, a…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Kacir , I. Zahed

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyze renormalization issues and the high-temperature asymptotics of…

High Energy Physics - Theory · Physics 2008-11-26 Alexei Strelchenko

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and…

Quantum Physics · Physics 2024-10-25 Alberto Rolandi

We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a…

Statistical Mechanics · Physics 2014-12-17 Pasquale Calabrese , John Cardy , Erik Tonni

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

High Energy Physics - Theory · Physics 2018-10-29 Chen-Te Ma

The temperature correction to the free energy of the gravitational field is considered which does not depend on the Planck energy physics. The leading correction may be interpreted in terms of the temperature dependent effective…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. E. Volovik , A. I. Zelnikov

The quantum Maxwell theory at finite temperature at equilibrium is studied on compact and closed manifolds in both the functional integral- and Hamiltonian formalism. The aim is to shed some light onto the interrelation between the topology…

High Energy Physics - Theory · Physics 2012-10-30 Gerald Kelnhofer

We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

Statistical Mechanics · Physics 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

We study topological order in a toric code in three spatial dimensions, or a 3+1D Z_2 gauge theory, at finite temperature. We compute exactly the topological entropy of the system, and show that it drops, for any infinitesimal temperature,…

Strongly Correlated Electrons · Physics 2008-10-22 Claudio Castelnovo , Claudio Chamon

We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the…

High Energy Physics - Theory · Physics 2009-10-30 Daniel Cangemi , Gerald Dunne

As a point of departure it is suggested that Quantum Cosmology is a topological concept independent from metrical constraints. Methods of continuous topological evolution and topological thermodynamics are used to construct a cosmological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. M. Kiehn

We develop a finite temperature field theory formalism in any dimension that has the filling fractions as the basic dynamical variables. The formalism efficiently decouples zero temperature dynamics from the quantum statistical sums. The…

High Energy Physics - Theory · Physics 2008-11-26 André LeClair

The thermodynamical partition function of the Duffin-Kemmer-Petiau theory is evaluated using the imaginary-time formalism of quantum field theory at finite temperature and path integral methods. The DKP partition function displays two…

High Energy Physics - Theory · Physics 2009-11-10 R. Casana , V. Ya. Fainberg , B. M. Pimentel , J. S. Valverde

We give large-time asymptotic estimates, both in uniform and $L^1$ norms, for solutions of the Dirichlet heat equation in the complement of a bounded open set of $\mathbb{R}^d$ satisfying certain technical assumptions. We always assume that…

Analysis of PDEs · Mathematics 2025-03-04 José A. Cañizo , Alejandro Gárriz , Fernando Quirós

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical…

High Energy Physics - Theory · Physics 2009-10-19 Andrzej Z. Gorski , Pawel O. Mazur

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields (see Commun. Math. Phys. 218 (2001)…

High Energy Physics - Theory · Physics 2009-11-10 Nikolay M. Nikolov , Ivan T. Todorov

We consider a free particle coupled with finite strength to a bath and investigate the evaluation of its specific heat. A harmonic oscillator bath of Drude type with cutoff frequency omega_D is employed to model an ohmic friction force with…

Quantum Physics · Physics 2008-11-21 Peter Hänggi , Gert-Ludwig Ingold , Peter Talkner