Spectrality, cluster decomposition and small distance properties in Wightman field theory

Aubrey Truman

Research output: Contribution to journalArticle

Abstract

We apply the results of a previous paper by Screaton and Truman to the truncated vacuum expectation values in Wightman field theory and, using spectrality, translational invariance, and Lorentz invariance, we derive the best bounds for the truncated vacuum expectation values at the real Jost points. In a local field theory these bounds include as a special case Araki's result on the exponential decrease of the truncated vacuum expectation value for large spacelike separations and the cluster decomposition property. The bounds also establish a connection between the small distance and high energy behaviors of the theory. In addition we evaluate the bounds in a nonlocal field theory and discuss some of their ramifications. Copyright © 1974 American Institute of Physics.

Original languageEnglish
Pages (from-to)1680-1685
Number of pages6
JournalJournal of Mathematical Physics
Volume15
Issue number10
Publication statusPublished - 1973

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