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arXiv 2501.03047hep-ph
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Lorentz 破坏 Chern-Simons 电动力学中的几何光学分析

Geometric optics analysis in Lorentz violating Chern-Simons electrodynamics

Arpan Das, Hriditi Howlader, Alekha C. Nayak

AI总结:

本文分析含 Lorentz 破坏 Chern-Simons 项的 (3+1) 维电动力学几何光学极限,表明曲率与该项修正场方程且不影响光强,但 Chern-Simons 项可改变传播光子的偏振。

摘要:

我们研究在 (3+1) 维中存在 Lorentz 破坏 Chern-Simons 项时电动力学的几何光学极限。该 Chern-Simons 项将对偶电磁张量与一个外部四矢量以及电磁规范场耦合。对于固定的外部四矢量,这样的 Chern-Simons 项破坏 Lorentz 不变性,同时保持理论的规范不变性。在本分析中,我们考察在从光源传播到观测点的光线的几何光学极限内,Lorentz 对称性破坏 Chern-Simons 项所导致的后果。我们论证,Ricci 张量和 Lorentz 破坏项会修正规范矢量场的动力学方程。然而,在几何光学极限中,时空曲率和 Chern-Simons 项都不会影响光的强度。另一方面,与强度不同,光的偏振会受到 Lorentz 破坏 Chern-Simons 项的影响。由于 Chern-Simons 项存在时的这种效应,从天体物理对象发出的光子在空间中传播时可能发生偏振变化。

英文摘要:

We study the geometric optics limit of the electrodynamics in the presence of Lorentz violating Chern-Simons term in (3+1) dimensions. The Chern-Simons term couples the dual electromagnetic tensor to an external four-vector and the electromagnetic gauge field. For a fixed external four-vector, such a Chern-Simons term violates Lorentz invariance while maintaining the gauge invariance of the theory. In this analysis, we look into the consequences of Lorentz symmetry violating Chern-Simons term within the geometric optics limit of light rays propagating from a source to an observation point. We argue that the Ricci tensor and the Lorentz-violating term modify the dynamical equation for the gauge vector field. However, in the geometric optics limit, neither the space-time curvature nor the Chern-Simons term influences the intensity of light. Unlike the intensity, the polarization of light, on the other hand, can be influenced by the Lorentz-violating Chern-Simons term. Due to such an effect in the presence of Chern-Simons term, the photon emitting from astrophysical objects can undergo a change in polarization as it propagates in space.

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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