Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D 70, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"
Abstract
We show that Lorentz symmetry is generally absent for noncommutative (abelian) gauge theories and obtain a compact formula for the divergence of the Noether currents that allows a throughout study of this instance of symmetry violation. We use that formula to explain why the results of "Noncommutative gauge theories and Lorentz symmetry", Phys. Rev. D 70, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar, interpreted there as new criteria for Lorentz invariance, are in fact just a particular case of the general expression for Lorentz violation obtained here. Finally, it is suggested that the divergence-formula should hold in a vast class of cases, such as, for instance, the Standard Model Extension.
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