论文标题
在非常特殊的相对论中诱导的麦克斯韦 - 切尔尼·苏尼克斯有效的行动
Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
论文作者
论文摘要
在本文中，我们研究了一环诱导的光子在$（2+1）$ spacetime（VSR-QED $ _ {3} $）中的非常特殊的相对性电动力学中的有效动作。由于存在VSR量规对称性产生的新的非局部耦合，因此我们还有其他图表，促成了$ \ langle aa \ rangle $和$ \ langle aaa \ rangle $ amplitudes。从这些贡献中，我们分别讨论了Abelian Maxwell-Chern-Simons Lagrangian的VSR概括，分别由动力学部分和类似Chern-Simons的自耦合组成。我们使用VSR-Chern-Simons电动力学来讨论有关拓扑材料的某些非欧味行为，特别是VSR对HALL电导率的影响。在有效作用的动力学部分中，由于VSR非局部效应与量子较高衍生术语的纠缠，我们观察到UV/IR混合的存在。此外，在自耦合方面，我们验证了VSR-QED $ _ {3} $明确的毛茸茸定理的有效性。
In this paper, we study the one-loop induced photon's effective action in the very special relativity electrodynamics in $(2+1)$ spacetime (VSR-QED$_{3}$). Due to the presence of new nonlocal couplings resulting from the VSR gauge symmetry, we have additional graphs contributing to the $\langle AA\rangle$ and $\langle AAA \rangle$ amplitudes. From these contributions, we discuss the VSR generalization of the Abelian Maxwell-Chern-Simons Lagrangian, consisting in the dynamical part and the Chern-Simons-like self-couplings, respectively. We use the VSR-Chern-Simons electrodynamics to discuss some non-Ohmic behavior on topological materials, in particular VSR effects on Hall's conductivity. In the dynamical part of the effective action, we observe the presence of a UV/IR mixing, due to the entanglement of the VSR nonlocal effects to the quantum higher-derivative terms. Furthermore, in the self-coupling aspect, we verify the validity of the Furry's theorem in the VSR-QED$_{3}$ explicitly.
