Induced Lorentz-violating terms at finite temperature

Details Induced Lorentz-violating terms at finite temperature Induced Lorentz-violating terms at finite temperature

2011-10-10

arxiv.org/abs/1110.2127v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 figures, revtex4

Scientific paper

We study the radiatively induced Lorentz-violating terms at finite temperature, namely, the higher-derivative term and the Chern-Simons term. These terms are induced by integrating out the fermions coupled to the coefficient $g^{\kappa\mu\nu}$. The calculation of the resulting expressions is performed by using the derivative expansion and the Matsubara formalism. The Chern-Simons terms is nonzero only at finite temperature, whereas the higher-derivative term is finite at zero temperature, however, it goes to zero as the temperature grows to infinity. We also obtain a higher-derivate Chern-Simons term, nevertheless, it vanishes asymptotically.

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