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Wightman axiomatic approach in noncommutative field theory

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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.

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Authors and Affiliations

  1. Institute for Nuclear Research, RAS, Moscow, Russia

    Yu. S. Vernov

  2. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia

    M. N. Mnatsakanova

Authors
  1. Yu. S. Vernov
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  2. M. N. Mnatsakanova
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 2, pp. 403#x2013;416, February, 2005.

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Vernov, Y.S., Mnatsakanova, M.N. Wightman axiomatic approach in noncommutative field theory. Theor Math Phys 142, 337–348 (2005). https://doi.org/10.1007/s11232-005-0016-y

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