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arXiv 0907.5159hep-phastro-ph.COgr-qchep-th
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$CPT$违反电动力学和Chern-Simons修正引力

$CPT$ Violating Electrodynamics and Chern-Simons Modified Gravity

Mingzhe Li, Yi-Fu Cai, Xiulian Wang, Xinmin Zhang

摘要:

带有Chern-Simons项$p_μA_ν\widetilde{F}^{μν}$的电动力学违反了具有非零$p_μ$的Lorentz和$CPT$对称性。本文指出,对于固定矢量$p_μ$,该理论的能量动量张量与引力最小耦合是对称的,但不是无发散的,从而使引力场方程不一致。为了保持一致性,我们在引力扇区中引入了一个Chern-Simons项,其系数由电磁场中的Lorentz和$CPT$破坏项确定。进一步研究了该模型在宇宙微波背景辐射和残余引力波中的唯象现象。

英文摘要:

The electrodynamics with a Chern-Simons term $p_μA_ν\widetilde{F}^{μν}$ violates Lorentz and $CPT$ symmetries with a non-vanishing $p_μ$. For a fixed vector $p_μ$, in this paper we point out that the energy-momentum tensor of this theory coupled to the gravity minimally is symmetric but not divergence free, which consequently makes the gravitational field equation inconsistent. To preserve the consistency, we introduce a Chern-Simons term in the gravity sector with the coefficient determined by the Lorentz and $CPT$ violating term in the electromagnetic field. Further we study the phenomenologies of the model on the cosmic microwave background radiation and the relic gravitational waves.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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