Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories

Details Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories

2001-04-27

arxiv.org/abs/hep-th/0104244v3

Phys.Lett. B514 (2001) 183-188

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages, no figures; v2: minor changes made, a summary added, version to appear in PLB

Scientific paper

10.1016/S0370-2693(01)00780-8

In a non-commutative field theory, the energy-momentum tensor obtained from the Noether method needs not be symmetric; in a massless theory, it needs not be traceless either. In a non-commutative scalar field theory, the method yields a locally conserved yet non-symmetric energy-momentum tensor whose trace does not vanish for massless fields. A non-symmetric tensor also governs the response of the action to a general coordinate transformation. In non-commutative gauge theory, if translations are suitably combined with gauge transformations, the method yields a covariantly constant tensor which is symmetric but only gauge covariant. Using suitable Wilson functionals, this can be improved to yield a locally conserved and gauge invariant, albeit non-symmetric, energy-momentum tensor.

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