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The evaluation of the specific heat of an open, damped quantum system is a subtle issue. One possible route is based on the thermodynamic partition function which is the ratio of the partition functions of system plus bath and of the bath…

Quantum Physics · Physics 2009-06-10 Gert-Ludwig Ingold , Peter Hänggi , Peter Talkner

Equilibrium finite temperature observables of a CFT can be described by a local effective action for background fields -- a "thermal effective action." This effective action determines the asymptotic density of states of a CFT as a detailed…

High Energy Physics - Theory · Physics 2024-05-16 Nathan Benjamin , Jaeha Lee , Hirosi Ooguri , David Simmons-Duffin

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic…

High Energy Physics - Theory · Physics 2020-11-03 Andrea Erdas

In this note I revisit the calculation of partition function of simple one dimensional systems solvable by Bethe Ansatz. Particularly I show that by the precise definition and treatment of the partition function the nontrivial normalization…

Strongly Correlated Electrons · Physics 2011-08-25 F. Woynarovich

The first quantum corrections to the free energy for an eternal 4-dimensional black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. The…

High Energy Physics - Theory · Physics 2010-04-06 Guido Cognola , Luciano Vanzo , Sergio Zerbini

The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Briginshaw

A general algebraic method of quantum corrections evaluation is presented. Quantum corrections to a few classical solutions (kinks and periodic) of Ginzburg-Landau (phi-in-quadro) and Sin-Gordon models are calculated in arbitrary…

Quantum Physics · Physics 2008-04-09 Sergey Leble , Anatolij Zaitsev

We revisit the coordinate coherent states approach through two different quantization procedures in the quantum field theory on the noncommutative Minkowski plane. The first procedure, which is based on the normal commutation relation…

High Energy Physics - Theory · Physics 2012-12-21 Yan-Gang Miao , Shao-Jun Zhang

Finite temperature corrections to the effective potential and the energy-momentum tensor of a scalar field are computed in a perturbed Minkoswki space-time. We consider the explicit mode decomposition of the field in the perturbed geometry…

High Energy Physics - Theory · Physics 2018-06-27 Franco D. Albareti , Antonio L. Maroto , Francisco Prada

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized through the interaction of a pair of neutral…

General Physics · Physics 2011-08-31 Richard Obousy

In this paper we review the calculations that are needed to obtain the bosonic and fermionic effective potential at finite temperature and volume (at one loop). The calculations at finite volume correspond to $S^1\times R^d$ topology. These…

Mathematical Physics · Physics 2009-08-28 V. K. Oikonomou

The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the…

High Energy Physics - Theory · Physics 2009-10-31 George Tsoupros

zeta-function methods are used to study the properties of the non-relativistic interacting Bose gas at finite temperature and density. Results for the ground state energy and pressure are obtained at both zero and finite temperature. The…

High Energy Physics - Theory · Physics 2009-11-07 David J. Toms

In this paper, we present a comprehensive analysis of the one-loop self-energy correction at finite temperature for the bound electron. In this approach, we study the influence of thermal radiation on atomic systems. Along the way, we found…

Atomic Physics · Physics 2025-07-22 J. J. Lopez-Rodriguez , A. Bobylev , P. Kvasov , T. Zalialiutdinov , D. Solovyev

We consider the ground state energy of a spinor field in the background of a square well shaped magnetic flux tube. We use the zeta- function regularization and express the ground state energy as an integral involving the Jost function of a…

High Energy Physics - Theory · Physics 2009-11-07 I. Drozdov

The optical manifold method to compute the one-loop effective action in a static space-time is extended from the massless scalar field to the Maxwell field in any Feynman-like covariant gauge. The method is applied to the case of the…

High Energy Physics - Theory · Physics 2014-11-18 Valter Moretti , Devis Iellici

The heat-kernel expansion and $\zeta$-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with…

High Energy Physics - Theory · Physics 2011-08-17 A. A. Bytsenko , G. Cognola , L. Vanzo , S. Zerbini

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

We investigate the quantum field aspects in flat spacetime for an uniformly accelerated observer moving in a thermal bath. In particular, we obtain an exact closed expression of the reduced density matrix for an uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Sanved Kolekar

We consider the behaviour of a quantum scalar field on three-dimensional Euclidean backgrounds: Anti-de Sitter space, the regular BTZ black hole instanton and the BTZ instanton with a conical singularity at the horizon. The corresponding…

High Energy Physics - Theory · Physics 2016-08-24 Robert B. Mann , Sergey N. Solodukhin
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