The Reeh-Schlieder property for thermal field theories

TL;DR

This paper demonstrates that the Reeh-Schlieder property in thermal quantum field theories follows from fundamental principles like locality and the KMS-condition, even when spatial translation invariance is broken.

Contribution

It establishes a direct link between the Reeh-Schlieder property and the relativistic KMS-condition in thermal states, extending understanding to non-invariant states.

Findings

Reeh-Schlieder property holds under KMS conditions

Locality and additivity imply the property in thermal states

Results apply even with broken spatial translation invariance

Abstract

We show that the Reeh-Schlieder property w.r.t. the KMS-vector is a direct consequence of locality, additivity and the relativistic KMS-condition. The latter characterises the thermal equilibrium states of a relativistic quantum field theory. The statement remains vaild even if the given equilibrium state breaks spatial translation invariance.