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.

12 pages, 1 figure

References in corpus (4)

• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
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Cited by in corpus (8)

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• 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