Bose-Einstein condensation in Ho\v{r}ava-Lifshitz theory

TL;DR

This paper investigates how a Hořava-Lifshitz extension affects Bose-Einstein condensation and thermodynamics, including corrections to the critical temperature and other parameters, using a generating functional approach.

Contribution

It introduces a novel analysis of Bose-Einstein condensation within a Hořava-Lifshitz framework, highlighting specific corrections to critical temperature and thermodynamics.

Findings

Lifshitz scaling correction modifies the critical temperature $T_c$.

Corrections to thermodynamic parameters are derived from the extended model.

The generating functional approach effectively captures the impact of the Hořava-Lifshitz extension.

Abstract

In this paper we study the corrections emergent from a Ho\v{r}ava-Lifshitz extension of the complex scalar sector to the Bose-Einstein condensation and to the thermodynamics parameters. We initially discussed some features of the model to only then compute the corrections to the Bose-Einstein condensation. The calculations were done by computing the generating functional, from which we extract the thermodynamics parameters. We also obtained the Lifshitz scaling correction for the critical temperature $T_c$ that sets the Bose-Einstein Condensation.