English

Energy-momentum tensors for non-commutative Abelian Proca field

High Energy Physics - Theory 2014-04-01 v1

Abstract

We study two different possibilities of constructing the energy-momentum tensors for non-commutative Abelian Proca field, by using (i) general Noether theorem and (ii) coupling to a weak external gravitational field. Both energy-momentum tensors are not traceless due to the violation of Lorentz invariance in non-commutative spaces. In particular, we show that the obtained energy density of the latter case coincides exactly with that of obtained by Dirac quantization method.

Keywords

Cite

@article{arxiv.1403.7723,
  title  = {Energy-momentum tensors for non-commutative Abelian Proca field},
  author = {F. Darabi and F. Naderi},
  journal= {arXiv preprint arXiv:1403.7723},
  year   = {2014}
}

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9 pages