Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation

Abstract

In this paper we study the effects of Lorentz Symmetry Breaking on thermodynamics properties of ideal gases. Inspired in the dispersion relation came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and CPT violation term, we compute the thermodynamics quantities for a Boltzmann, Fermi-Dirac and Bose-Einstein distributions. Two regimes are analyzed: the non- relativistic and the relativistic one. In the first case we show that the topological mass induced by the Chern-Simons term behaves as a chemical potential. For the Bose-Einstein gases it could be found a condensation in both regimes, being the appearance of a condensate in the relativistic regime, the main contribution of this work.

22 pages, 3 figures

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• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Exploring the thermodynamics of non-commutative scalar fields
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Bose-Einstein condensation in Hořava-Lifshitz theory