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arXiv · 1110.2127

Induced Lorentz-violating terms at finite temperature

J. Leite·T. Mariz
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Abstract

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 $g^{κμν}$. 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-derivative Chern-Simons term, nevertheless, it vanishes asymptotically.

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J. Leite, T. Mariz. 2012-08-03. Induced Lorentz-violating terms at finite temperature. https://doi.org/10.1209/0295-5075%2F99%2F21003

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