Geodesic
Wightman axiomatic approach in noncommutative field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 403-416

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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. 
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     author = {Yu. S. Vernov and M. N. Mnatsakanova},
     title = {Wightman axiomatic approach in noncommutative field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {403--416},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a15/}
}
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Yu. S. Vernov; M. N. Mnatsakanova. Wightman axiomatic approach in noncommutative field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 403-416. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a15/