Induced Lorentz-violating terms at finite temperature

Instituto de Física, Universidade Federal de Alagoas - 57072-270, Maceió, Alagoas, Brazil

^(a) tmariz@fis.ufal.br

Received: 8 May 2012
Accepted: 28 June 2012

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 term is nonzero only at finite temperature, whereas the higher-derivative term is finite at zero temperature; however, this latter goes to zero as the temperature grows to infinity. We also obtain a higher-derivative Chern-Simons term; nevertheless, it vanishes asymptotically.