MiS Preprint Repository

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 ( 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

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