Yu. S. Vernov, M. N. Mnatsakanova, “Wightman axiomatic approach in noncommutative field theory”, TMF, 2005, Volume 142, Number 2,Pages <nobr>403

This article is cited in 6 papers

Wightman axiomatic approach in noncommutative field theory

Yu. S. Vernov^a, M. N. Mnatsakanova^b

^a Institute for Nuclear Research, Russian Academy of Sciences
^b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: The axiomatic approach based on Wightman functions is developed in noncommutative field theory. We prove that the main results of the axiomatic approach remain valid if the noncommutativity affects only the spatial variables.

Keywords: noncommutativity, quantum field theory, axiomatic approach, Wightman functions, local commutativity, spectrality, $CPT$ theorem.

DOI: 10.4213/tmf1791