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Noncommutative Field Theory

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Abstract

We propose noncommutative space-time and a method to construct noncommutative field theory in terms of a covariant ★-product Moyal algebra and to study those physical and mathematical consequences. We consider noncommutative quantum electrodynamics. The prescription involves calculating the trace-like averaging procedure of noncommutative spacetime, leading to the nonlocal theory. From experimental data on testing the local theory it follows that θ ≲ 7 ⋅ 10−32 m 2, where θ is the dimensionful scale of the tensor θμν characterizing noncommutative properties of spacetime arising from low-energy limit of string theories.

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Authors and Affiliations

  1. Institute of Physics and Technology, Mongolian Academy of Sciences, Ulaanbaatar University, Ulaanbaatar 51, Mongolia

    Kh. Namsrai

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Namsrai, K. Noncommutative Field Theory. International Journal of Theoretical Physics 42, 2609–2704 (2003). https://doi.org/10.1023/B:IJTP.0000005979.33083.f1

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