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Reconstruction theorem and cluster properties of Wightman functions in noncommutative quantum field theory

  • Session “Quantum Field Theory and Theory of Elementary Particles”
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Abstract

The rigorous definition of quantum field operator is done in any theory where usual product between corresponding test functions is substituted by the star product. The important example of such a theory is noncommutative quantum field theory. Cluster properties of Wightman functions are proved in these theories.

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References

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  6. M. N. Mnatsakanova and Yu. S. Vernov, “Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory”, mathph/0901.1454.

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Authors and Affiliations

  1. Institute of Nuclear Physics, Moscow State University, Vorobyevy Gory, Moscow, 119992, Russia

    M. N. Mnatsakanova

  2. Institute for Nuclear Research of Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russia

    Yu. S. Vernov

Authors
  1. M. N. Mnatsakanova
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  2. Yu. S. Vernov
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Additional information

Talk at the “The International Bogolyubov Conference Problems of Theoretical and Mathematical Physics,” Moscow-Dubna, August 21–27, 2009.

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Mnatsakanova, M.N., Vernov, Y.S. Reconstruction theorem and cluster properties of Wightman functions in noncommutative quantum field theory. Phys. Part. Nuclei 41, 973–975 (2010). https://doi.org/10.1134/S106377961006033X

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  • DOI: https://doi.org/10.1134/S106377961006033X

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