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arXiv 1102.3027hep-th
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对“非对易规范理论和洛伦兹对称性”的评论,物理评论D { \bf 70},125004(2004),R.Banerjee,B.Chakraborty和K.Kumar

Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"

Alfredo Iorio

摘要:

我们表明,洛伦兹对称性一般是不存在的非对易(阿贝尔)规范理论,并获得一个紧凑的公式的发散的诺特电流,允许贯穿研究这种情况下的对称性破坏。我们使用该公式来解释为什么R.Banerjee、B.Chakraborty和K.Kumar的“非对易规范理论和洛伦兹对称性”(Phys. Rev. D { \bf 70},125004(2004))的结果被解释为洛伦兹{\it不变性}的新判据,实际上只是这里得到的洛伦兹{\it破坏}的一般表达式的一个特殊情况。最后,有人建议,分歧公式应保持在一个巨大的类别的情况下,例如,标准模型扩展。

英文摘要:

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 {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar, interpreted there as new criteria for Lorentz {\it invariance}, are in fact just a particular case of the general expression for Lorentz {\it 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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