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arXiv · 1005.4235

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

Christian D. Jaekel·Heide Narnhofer·Walter F. Wreszinski
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Abstract

Let $ω$ 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 $P(ϕ)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $ω$ in the weak* topology, for which the time evolution is weakly asymptotically abelian.

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Christian D. Jaekel, Heide Narnhofer, Walter F. Wreszinski. 2010-05-23. On the mixing property for a class of states of relativistic quantum fields. https://doi.org/10.1063/1.3372623

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