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

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

2010-05-23

arxiv.org/abs/1005.4235v1

Journal in Mathematical Physics 51, 2010

Physics

Mathematical Physics

Scientific paper

Let $\omega$ be a factor state on the quasi-local algebra $\cal{A}$ 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 $P(\phi)_2$ 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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