KMS-like properties of local equilibrium states in quantum field theory

JOURNAL OF GEOMETRY AND PHYSICS

卷:117

Article

Gransee, Michael^1,4  Pinamonti, Nicola^2,3  Verch, Rainer⁴ 

[1] MPI Math Nat Wissensch, D-04103 Leipzig, Germany

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

[3] INFN, Sez Genova, I-16146 Genoa, Italy

[4] Univ Leipzig, Inst Theoret Phys, D-04103 Leipzig, Germany

关键词: Local KMS condition;    Thermal quantum field theory;    Quantum statistical mechanics;   

DOI  :  10.1016/j.geomphys.2017.02.014

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free