Induced Lorentz-violating terms at finite temperature

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 $g^{\kappa \mu \nu }$. 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-derivative Chern-Simons term, nevertheless, it vanishes asymptotically.

12 pages, 4 figures, revtex4; v2: EPL version

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• Thermodynamics of a quantum ring modified by Lorentz violation
• Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
• Partitioning Dense Graphs with Hardware Accelerators
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Electromagnetism with dimension-five operators
• Effects of Lorentz violation in the Bose-Einstein condensation
• Lorentz-violating effects in three-dimensional $QED$
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature
• Quasi-relativistic fermions and dynamical flavour oscillations
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Effective electromagnetic Lagrangians in the derivative expansion method
• On the higher-derivative Lorentz-breaking terms