Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature

Abstract

In this paper, we discuss the behavior of the Carroll-Field-Jackiw (CFJ) coefficient $k^{\mu }$ arising due to integration over massive fermions, and the modification suffered by its topological structure in the finite temperature case. Our study is based on the imaginary time formalism and summation over the Matsubara frequencies. We demonstrate that the self-energy of photon is non-analytic for the small $k^{\mu }$ limit, i.e., the static limit $(k_0=0,\vec{k}\to 0)$ and the long wavelength limit $(k_0\to 0,\vec{k}=0)$ do not commute, while the tensorial structure of the CFJ term holds in both limits.

arXiv comment12 pages, 1 figure

References in corpus (23)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• When radiative corrections are finite but undetermined
• Lorentz and CPT violations from Chern-Simons modifications of QED
• Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED
• Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion of QED
• Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization
• A Remark on Lorentz Violation at Finite Temperature
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Radiatively Induced Lorentz and CPT Violation in Schwinger Constant Field Approximation
• Chern-Simons like term generation in an extended model of QED under external conditions
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Induced higher-derivative Lorentz-violating Chern-Simons term at finite temperature
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
• One-Loop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz and CPT Symmetry
• Parity-violating electromagnetic interactions in QED_3 at finite temperature
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Parity Violating Bosonic Loops at Finite Temperature

Cited by in corpus (8)

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• Effects of Lorentz violation in the Bose-Einstein condensation
• Optical properties and energy propagation in a dielectric medium supporting magnetic current
• Nonperturbative Lorentz Violation and Field Quantization
• Anisotropic cold plasma modes in chiral vector Maxwell-Carroll-Field-Jackiw electrodynamics
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Lorentz-violating extension of scalar QED at finite temperature
• Nonanalyticity of the nonabelian five-dimensional Chern-Simons term