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Energy-momentum tensors for non-commutative Abelian Proca field

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.

preprint2014arXivOpen access
F. DarabiF. Naderi
hep-th
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F. DarabiF. Naderi

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