On the mixing property for a class of states of relativistic quantum fields

Abstract

Let $\omega$ be a factor state on the quasi-local algebra $\mathcal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(\varphi {)}_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $\omega$ in the weak* topology, for which the time evolution is weakly asymptotically abelian.

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Cited by in corpus (2)

• Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalization
• A Goldstone Theorem in Thermal Relativistic Quantum Field Theory