Lorentz对称性破坏下的超相对论玻色-爱因斯坦气体
Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
摘要：
本文研究了洛仑兹对称性破缺对理想气体热力学性质的影响。受Carroll-Field-Jackiw电动力学模型中Lorentz和CPT破坏项的色散关系的启发，我们计算了Boltzmann，Fermi-Dirac和Bose-Einstein分布的热力学量。两个制度进行了分析：非相对论和相对论之一。在第一种情况下，我们表明，由陈-西蒙斯项诱导的拓扑质量的行为作为一个化学势。对于玻色-爱因斯坦气体，可以发现在两种状态下都有凝聚，在相对论状态下出现凝聚，这是这项工作的主要贡献。
英文摘要：
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.
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