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

TL;DR

This paper investigates how Lorentz-violation influences Bose-Einstein condensation in an ideal bosonic gas, providing bounds on LIV parameters and showing LIV effects modify thermodynamic properties.

Contribution

It introduces a model coupling a scalar field to Lorentz-violating backgrounds and analyzes LIV effects in both nonrelativistic and ultrarelativistic regimes, deriving bounds and thermodynamic modifications.

Findings

LIV effects appear as an overall factor in thermodynamic properties.

Upper bounds on LIV parameters are obtained from experimental data.

LIV influences the fraction of condensed particles.

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.