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25 April 2024
 
  » arxiv » 1609.9120

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Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature
J. F. Assuncao ; T. Mariz ; A. Yu. Petrov ;
Date 28 Sep 2016
AbstractIn 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 $(k_0=0,vec k ightarrow 0)$ and the long wavelength limit $(k_0 ightarrow 0,vec k= 0)$ do not commute, while the tensorial structure of the CFJ term holds in both limits.
Source arXiv, 1609.9120
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