Volume 116, Number 3, November 2016
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||19 December 2016|
Non-analyticity of the induced Carroll-Field-Jackiw term at finite temperature
1 Instituto de Física, Universidade Federal de Alagoas - 57072-900, Maceió, Alagoas, Brazil
2 Departamento de Física, Universidade Federal da Paraíba - 58051-970, João Pessoa, Paraíba, Brazil
Received: 7 October 2016
Accepted: 23 November 2016
In this paper, we discuss the behavior of the Carroll-Field-Jackiw (CFJ) coefficient 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- limit, i.e., the static limit and the long-wavelength limit do not commute, while the tensorial structure of the CFJ term holds in both limits.
PACS: 11.10.Wx – Finite-temperature field theory / 11.30.Cp – Lorentz and Poincaré invariance
© EPLA, 2016
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