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

Jakel, Christian Dieter, Narnhofer, Heide and Wreszinski, Walter F. 2010. On the mixing property for a class of states of relativistic quantum fields. Journal of Mathematical Physics 51 (5) , 052703. 10.1063/1.3372623

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Abstract

Let ω be a factor state on the quasilocal algebra 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

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: 12 pages.
Publisher: American Institute of Physics
ISSN: 0022-2488
Last Modified: 19 Mar 2016 22:22
URI: https://orca.cardiff.ac.uk/id/eprint/13891

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