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Abstract: (AIP)
This paper stands for an application of the noncommutative (NC) Noether theorem, given in our previous work [AIP Proc 956 (2007) 55–60], for the NC complex Grosse‐Wulkenhaar model. It provides with an extension of a recent work [Physics Letters B 653 (2007) 343–345]. The local conservation of energy‐momentum tensors (EMTs) is recovered using improvement procedures based on Moyal algebraic techniques. Broken dilatation symmetry is discussed. NC gauge currents are also explicitly computed.
Note:
  • 8 pages
  • Noncommutative field theory
  • Moyal algebra
  • Noether theorem
  • Ward identity operator
  • Energy-momentum tensor
  • quantum theory
  • tensors
  • numerical analysis
  • classical field theory
  • energy-momentum: conservation law