Lorentz-violating effects in the Bose-Einstein condensation of an ideal bosonic gas

Abstract

We have studied the effects of Lorentz-violation in the Bose-Einstein condensation (BEC) of an ideal boson gas, by assessing both the nonrelativistic and ultrarelativistic limits. Our model describes a massive complex scalar field coupled to a CPT-even and Lorentz-violating background. We irst analyze the nonrelativistic case, at this level by using experimental data, we obtain upper-bounds for some LIV parameters. In the sequel, we have constructed the partition function for the relativistic ideal boson gas which to be able of a consistent description requires the imposition of severe restrictions on some LIV coefficients. In both cases, we have demonstrated that the LIV contributions are contained in an overall factor, which multiplies almost all thermodynamical properties. An exception is the fraction of the condensed particles.

7 pages Latex2e. To be published in Modern Physics Letters A

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• The Lorentz-violating real scalar field at thermal equilibrium
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Lorentz-violating extension of scalar QED at finite temperature
• Exact Lorentz-violating $q$-deformed O($N$) universality class