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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

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

On the example of a free massless and conformally coupled scalar field, it is argued that in quantum field theory in curved spacetimes with time-like Killing field, the corresponding KMS states (generalized Gibbs ensembles) at parameter…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Christoph Solveen

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

A relativistic version of the Kubo--Martin--Schwinger boundary condition is presented which fixes the properties of thermal equilibrium states with respect to arbitrary space--time translations. This novel condition is a natural…

High Energy Physics - Theory · Physics 2007-05-23 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

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 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

The existence of local thermal equilibrium (LTE) states for quantum field theory in the sense of Buchholz, Ojima and Roos is discussed in a model-independent setting. It is shown that for spaces of finitely many independent thermal…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Christoph Solveen

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

This article reviews some aspects of local covariance and of the ambiguities and anomalies involved in the definition of the stress energy tensor of quantum field theory in curved spacetime. Then, a summary is given of the approach proposed…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Rainer Verch

In the framework of local thermodynamic equilibrium by Buchholz, Ojima and Roos, a class S_x of observables, whose members are supposed to model idealized measurements of thermal properties of given states at spacetime points x, plays a…

High Energy Physics - Theory · Physics 2007-05-23 Jan Schlemmer

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

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This should be a natural characterization of local equilibrium, but the problem is to give a…

High Energy Physics - Theory · Physics 2007-05-23 Hermann Hessling

In this paper we investigate the energy distribution of states of a linear scalar quantum field with arbitrary curvature coupling on a curved spacetime which fulfill some local thermality condition. We find that this condition implies a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jan Schlemmer , Rainer Verch

We study the classical and quantum KMS conditions within the context of spin lattice systems. Specifically, we define a strict deformation quantization (SDQ) for a $\mathbb{S}^2$-valued spin lattice system over $\mathbb{Z}^d$ generalizing…

Mathematical Physics · Physics 2025-06-06 Nicolò Drago , Lorenzo Pettinari , Christiaan J. F. van de Ven

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

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

Many physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger than microscopic molecular collision scales and can be considered as in local thermal equilibrium. In…

High Energy Physics - Theory · Physics 2018-02-14 Ping Gao , Hong Liu

Given a thermal field theory for some temperature $\beta^{-1}$, we construct the theory at an arbitrary temperature $ 1 / \beta'$. Our work is based on a construction invented by Buchholz and Junglas, which we adapt to thermal field…

High Energy Physics - Theory · Physics 2007-05-23 Christian Jaekel
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