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arXiv 2302.13129hep-th
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轴子电动力学:格林函数、零点能与光学活性

Axion electrodynamics: Green's functions, zero-point energy and optical activity

Amedeo M. Favitta, Iver Brevik, Masud Chaichian

AI总结:

本文利用格林函数方法研究了轴子电动力学中时间依赖轴子场和静态畴壁对卡西米尔能量及辐射压强的修正,并将结果推广到有限温度,同时讨论了其在拓扑绝缘体和光学活性中的应用。

摘要:

从轴子电动力学理论出发,我们利用格林函数计算了轴子对电磁卡西米尔能量的修正,分别考虑了轴子场最初被假设为纯时间依赖的情形以及轴子场构型为静态畴壁的情形。对于第一种情形,这意味着振荡轴子背景被视为类似于在具有两块无限平行导电极板的传统卡西米尔装置中静止的轴子流体;而在第二种情形中,我们评估了作用在轴子畴壁上的辐射压强。我们扩展了先前的理论以纳入有限温度。讨论了多种应用。1. 我们回顾了轴子电动力学理论,特别是线性介电和磁性材料中的能量-动量守恒。我们通过扩展 Brevik 和 Chaichian (2022) 以及 Patkos (2022) 的先前结果来处理后一方面。2. 采用振荡轴子背景模型,我们通过格林函数方法讨论了轴子引起的两块平行板之间卡西米尔力的修正。3. 我们计算了在有限温度 T 下作用在轴子畴壁上的辐射压强。我们关于振荡轴子场和畴壁的结果对凝聚态物理也很有用,在凝聚态物理中,“轴子拓扑绝缘体”通过 Chern-Simons 相互作用与电磁场相互作用,类似于轴子电动力学中的相互作用,并且存在类似于 Jiang, Q. D. 和 Wilczek, F. (2019) 以及 Fukushima 等人 (2019) 所展示的含时轴子场和畴壁的实验系统。4. 我们将假设含时或含空轴子构型的结果与 Sikivie (2021) 以及 Carrol 等人 (1990) 关于轴子电动力学光学活性的讨论进行了比较。

英文摘要:

Starting from the theory of Axion Electrodynamics, we work out the axionic modifications to the electromagnetic Casimir energy using the Green's function, both when the axion field is initially assumed purely time-dependent and when the axion field configuration is a static domain wall. For the first case it means that the oscillating axion background is taken to resemble an axion fluid at rest in a conventional Casimir setup with two infinite parallel conducting plates, while in the second case we evaluate the radiation pressure acting on an axion domain wall. We extend previous theories in order to include finite temperatures. Various applications are discussed. 1. We review the theory of Axion Electrodynamics and particularly the energy-momentum conservation in a linear dielectric and magnetic material. We treat this last aspect by extending former results by Brevik and Chaichian (2022) and Patkos (2022). 2. Adopting the model of the oscillating axion background we discuss the axion-induced modifications to the Casimir force between two parallel plates by using a Green's function approach. 3. We calculate the radiation pressure acting on an axion domain wall at finite temperature T. Our results for an oscillating axion field and a domain wall are also useful for condensed matter physics, where "axionic topological insulators" interact with the electromagnetic field with a Chern-Simons interaction, like the one in Axion Electrodynamics, and there are experimental systems analogous to time-dependent axion fields and domain walls as the ones showed by Jiang, Q. D., \& Wilczek, F. (2019) and Fukushima et al. (2019). 4. We compare our results, where we assume time-dependent or space-dependent axion configurations, with the discussion of the optical activity of Axion Electrodynamics by Sikivie (2021) and Carrol et al. (1990).

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