Coincidence Arrangements of Local Observables and Uniqueness of the Vacuum in QFT

Details Coincidence Arrangements of Local Observables and Uniqueness of the Vacuum in QFT Coincidence Arrangements of Local Observables and Uniqueness of the Vacuum in QFT

2009-05-13

arxiv.org/abs/0905.2050v1

J.Phys.A42:365201,2009

Physics

Mathematical Physics

27 pages, LaTeX

Scientific paper

10.1088/1751-8113/42/36/365201

A new phase space criterion, encoding the physically motivated behavior of coincidence arrangements of local observables, is proposed in this work. This condition entails, in particular, uniqueness and purity of the energetically accessible vacuum states. It is shown that the qualitative part of this new criterion is equivalent to a compactness condition proposed in the literature. Its novel quantitative part is verified in massive free field theory.

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