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MiS Preprint

Local Thermal Equilibrium States in Quantum Field Theory

Michael Gransee


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. This condition is based on certain analyticity and periodicity properties of correlation functions. On the other hand, the characterization of non-equilibrium states which only locally have thermal properties still constitutes a challenge in quantum field theory. A proposal by D. Buchholz, I. Ojima and H.-J. Roos for characterizing local thermal equilibrium states in quantum field theory is reviewed. The connection of this proposal to a recently proposed generalization of the KMS condition is discussed.

Mar 16, 2015
Mar 30, 2015
MSC Codes:
81T05, 81T28, 82C10
Quantum Field Theory, local thermal equilibrium, Quantum Statistical Mechanics

Related publications

2016 Repository Open Access
Michael Gransee

Local thermal equilibrium states in relativistic quantum field theory

In: Quantum mathematical physics : a bridge between mathematics and physics / Felix Finster... (eds.)
Basel : Birkhäuser, 2016. - pp. 101-117