English

Twisted Grosse-Wulkenhaar $\phi^{\star 4}$ model: dynamical noncommutativity and Noether currents

Mathematical Physics 2010-04-22 v1 math.MP

Abstract

This paper addresses the computation of Noether currrents for the renormalizable Grosse-Wulkenhaar (GW) ϕ4\phi^{\star 4} model subjected to a dynamical noncomutativity realized through a twisted Moyal product. The noncommutative (NC) energy-momentum tensor (EMT), angular momentum tensor (AMT) and the dilatation current (DC) are explicitly derived. The breaking of translation and rotation invariances has been avoided via a constraint equation.

Cite

@article{arxiv.0909.4562,
  title  = {Twisted Grosse-Wulkenhaar $\phi^{\star 4}$ model: dynamical noncommutativity and Noether currents},
  author = {Mahouton Norbert Hounkonnou and Dine Ousmane Samary},
  journal= {arXiv preprint arXiv:0909.4562},
  year   = {2010}
}
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