Induced higher-derivative Lorentz-violating Chern-Simons term at finite temperature

Abstract

In this work, we analyze the generation of the higher-derivative Lorentz-violating Chern-Simons term at zero temperature and at finite temperature. We use the method of derivative expansion and the Matsubara formalism in order to consider the finite temperature effects. The results show that at zero temperature the induced higher-derivative Chern-Simons term is nonzero; in contrast, when the temperature reaches infinity, the coefficients of the induced term vanish. In addition, we also briefly study the question of large gauge invariance of this higher-derivative term as we as the conventional Chern-Simons term. We compute the exact induced action for both terms at finite temperature, however, in a particular gauge field background, and observe that they are, in fact, invariant under large gauge transformation.

17 pages, 3 figures

References in corpus (5)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Lectures on differential equations for Feynman integrals
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Radiatively induced Lorentz-violating operator of mass dimension five in QED

Cited by in corpus (5)

• Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature
• Lorentz-violating effects in three-dimensional $QED$
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature