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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
54/2015

KMS-like Properties of Local Thermal Equilibrium States in Quantum Field Theory

Michael Gransee, Nicola Pinamonti and Rainer Verch

Abstract

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 condition) is equivalent to the Local Thermal Equilibrium (LTE) condition, proposed previously by Buchholz, Ojima and Roos, for states of the quantized scalar Klein-Gordon field that fulfill the analytic microlocal spectrum condition. Therefore, known examples of states fulfilling the LTE condition provide examples of states obeying the LKMS condition with a temperature distribution varying in space and time. The results extend to the generalized cases of mixed-temperature LKMS and LTE states. The LKMS condition therefore provides a promising generalization of the KMS condition, which characterizes global thermal equilibrium states with respect to an inertial time evolution, to states which are globally out of equilibrium but still possess a local temperature distribution.

Received:
30.08.15
Published:
31.08.15
Keywords:
local thermal equilibrium, Quantum Field Theory, KMS condition, Quantum Statistical Mechanics

Related publications

inJournal
2017 Repository Open Access
Michael Gransee, Nicola Pinamonti and Rainer Verch

KMS-like properties of Local Thermal Equilibrium states in quantum field theory

In: Journal of geometry and physics, 117 (2017), pp. 15-35