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Local Thermal Equilibrium States in Relativistic Quantum Field Theory

In: Quantum Mathematical Physics

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  • Michael Gransee

    (Max Planck Institut für Mathematik in den Naturwissenschaften)

Abstract

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 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. We discuss a recent proposal for characterization of such states by a generalized KMS condition. The connection of this proposal to a proposal by D. Buchholz, I. Ojima and H.-J. Roos for characterizing local thermal equilibrium states in quantum field theory is discussed.

Suggested Citation

  • Michael Gransee, 2016. "Local Thermal Equilibrium States in Relativistic Quantum Field Theory," Springer Books, in: Felix Finster & Johannes Kleiner & Christian Röken & Jürgen Tolksdorf (ed.), Quantum Mathematical Physics, edition 1, pages 101-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-26902-3_6
    DOI: 10.1007/978-3-319-26902-3_6
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