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arXiv · 1403.7723

Energy-momentum tensors for non-commutative Abelian Proca field

F. Darabi·F. Naderi
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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.

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F. Darabi, F. Naderi. 2014-03-30. Energy-momentum tensors for non-commutative Abelian Proca field. https://arxiv.org/abs/1403.7723

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