PCT, spin and statistics, and analytic wave front set
Abstract
A new, more general derivation of the spin-statistics and PCT theorems is presented. It uses the notion of the analytic wave front set of (ultra)distributions and, in contrast to the usual approach, covers nonlocal quantum fields. The fields are defined as generalized functions with test functions of compact support in momentum space. The vacuum expectation values are thereby admitted to be arbitrarily singular in their space-time dependence. The local commutativity condition is replaced by an asymptotic commutativity condition, which develops generalizations of the microcausality axiom previously proposed.
Cite
@article{arxiv.hep-th/0605243,
title = {PCT, spin and statistics, and analytic wave front set},
author = {Michael A. Soloviev},
journal= {arXiv preprint arXiv:hep-th/0605243},
year = {2008}
}
Comments
LaTeX, 23 pages, no figures. This version is identical to the original published paper, but with corrected typos and slight improvements in the exposition. The proof of Theorem 5 stated in the paper has been published in J. Math. Phys. 45 (2004) 1944-1958