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Noncommutative Quantum Field Theory: A Confrontation of Symmetries

High Energy Physics - Theory 2014-11-18 v1

Abstract

The concept of a noncommutative field is formulated based on the interplay between twisted Poincar\'e symmetry and residual symmetry of the Lorentz group. Various general dynamical results supporting this construction, such as the light-wedge causality condition and the integrability condition for Tomonaga-Schwinger equation, are presented. Based on this analysis, the claim of the identity between commutative QFT and noncommutative QFT with twisted Poincar\'e symmetry is refuted.

Keywords

Cite

@article{arxiv.0805.3500,
  title  = {Noncommutative Quantum Field Theory: A Confrontation of Symmetries},
  author = {M. Chaichian and K. Nishijima and T. Salminen and A. Tureanu},
  journal= {arXiv preprint arXiv:0805.3500},
  year   = {2014}
}

Comments

20 pages