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It is well-known that thermal equilibrium states in quantum statistical mechanics and quantum field theory can be described in a mathematically rigorous manner by means of the so-called Kubo-Martin-Schwinger (KMS) condition, which is based…

Mathematical Physics · Physics 2016-03-01 Michael Gransee

We show that the Reeh-Schlieder property w.r.t. the KMS-vector is a direct consequence of locality, additivity and the relativistic KMS-condition. The latter characterises the thermal equilibrium states of a relativistic quantum field…

High Energy Physics - Theory · Physics 2015-06-26 Christian Jaekel

A new condition, called "Local KMS Condition", characterizing states of a quantum field to which one can ascribe, at a given spacetime point, a temperature, is introduced in this article. It will be shown that the Local KMS Condition (LKMS…

Mathematical Physics · Physics 2015-08-25 Michael Gransee , Nicola Pinamonti , Rainer Verch

It is shown that, under quite general conditions, thermal correlation functions in relativistic quantum field theory have stronger analyticity properties in configuration space than those imposed by the KMS-condition. These analyticity…

High Energy Physics - Theory · Physics 2009-10-31 Jacques Bros , Detlev Buchholz

The spacetime dependence of the inverse temperature four-vector $\boldsymbol{\beta}$ for certain states of the quantized Klein-Gordon field on (parts of) Minkowski spacetime is discussed. These states fulfill a recently proposed version of…

Mathematical Physics · Physics 2016-09-26 Michael Gransee

Thermal quantum field theories are expected to obey a relativistic KMS condition, which replaces both the relativistic spectrum condition of Wightman quantum field theory and the KMS condition, which characterises equilibrium states in…

Mathematical Physics · Physics 2014-03-18 Christian D. Jäkel , Florian Robl

Recently it has been shown that the Reeh-Schlieder property w.r.t. thermal equilibrium states is a direct consequence of locality, additivity and the relativistic KMS condition. Here we extend this result to ground states.

High Energy Physics - Theory · Physics 2009-10-31 Christian Jaekel

The Kubo-Martin-Schwinger condition is a widely studied fundamental property in quantum statistical mechanics which characterises the thermal equilibrium states of quantum systems. In the seventies, G. Gallavotti and E. Verboven, proposed…

Mathematical Physics · Physics 2019-04-22 Z. Ammari , A. Ratsimanetrimanana

We investigate realizations of supersymmetry at finite temperature in terms of thermal superfields, in a thermally constrained superspace: the Grassmann coordinates are promoted to be time-dependent and antiperiodic, with a period given by…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -P. Derendinger , C. Lucchesi

We discuss the imaginary-time formalism for field theories in thermal equilibrium in uniformly accelerating frames. We show that under a Wick rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point in a two-dimensional…

High Energy Physics - Theory · Physics 2025-02-20 Victor E. Ambruş , Maxim N. Chernodub

The linear scalar quantum field, propagating in a globally hyperbolic spacetime, is a relatively simple physical model that allows us to study many aspects in explicit detail. In this review we focus on the theory of thermal equilibrium…

Mathematical Physics · Physics 2013-04-15 Ko Sanders

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

We give an overview on a couple of recent results concerning the KMS-condition and the characterization of thermodynamic equilibrium states from a moving observer's point of view. These results include a characterization of vacuum states in…

Mathematical Physics · Physics 2007-05-23 Bernd Kuckert

We consider field-theoretic models, one consisting purely of scalars, the other also involving fermions, that couple to a set of constant background coupling coefficients transforming as a symmetric observer Lorentz two-tensor. We show that…

High Energy Physics - Theory · Physics 2013-05-30 Robertus Potting

It is shown that the perturbative expansions of the correlation functions of a relativistic quantum field theory at finite temperature are uniquely determined by the equations of motion and standard axiomatic requirements, including the KMS…

High Energy Physics - Theory · Physics 2009-10-28 O. Steinmann

We resolve the long standing question of temperature dependence of uniformly moving bodies by means of a quantum statistical treatment centred on the zeroth law of thermodynamics. The key to our treatment is the result, established by…

Mathematical Physics · Physics 2015-05-13 Geoffrey L. Sewell

We investigate when temporal ordering becomes operationally meaningful in relativistic quantum field theory using localized detector models. A time parameter alone does not ensure that different sequences of operations are physically…

Quantum Physics · Physics 2026-04-29 Marcello Rotondo

In this contribution, I will give a brief survey of present techniques to treat the bound state problem in relativistic quantum field theories. In particular, I will discuss the Bethe-Salpeter equation, various quasi-potential equations,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Axel Weber

In this paper, we explore the Klein-Gordon field theory in $(D+1)$ dimensions in the presence of a $(D-1)$-dimensional hyperplanar $\delta$-like potential that couples quadratically to the field derivatives. This model effectively…

High Energy Physics - Theory · Physics 2025-08-18 J. C. Fernandes , J. P. Ferreira , F. E. Barone , F. A. Barone , G. Flores-Hidalgo , L. H. C. Borges

We provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states. This is achieved by exploiting a non-commutative analog of…

Mathematical Physics · Physics 2026-04-17 Nicolò Drago , Lorenzo Pettinari , Christiaan J. F. van de Ven
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