Induced Maxwell–Chern–Simons effective action in very special relativity
Autor: | M. Ghasemkhani, Rodrigo Bufalo, Z. Haghgouyan, Alex Soto |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) Spacetime High Energy Physics::Phenomenology Chern–Simons theory FOS: Physical sciences lcsh:Astrophysics Quantum entanglement High Energy Physics::Theory High Energy Physics - Theory (hep-th) lcsh:QB460-466 lcsh:QC770-798 Very special relativity lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Abelian group Engineering (miscellaneous) Effective action Quantum Mathematical physics Gauge symmetry |
Zdroj: | European Physical Journal European Physical Journal C: Particles and Fields, Vol 80, Iss 12, Pp 1-12 (2020) |
Popis: | 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. 19 pages, 3 figures |
Databáze: | OpenAIRE |
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