Bose-Einstein condensation for interacting scalar fields in curved spacetime

TL;DR

This paper investigates Bose-Einstein condensation of self-interacting scalar fields in curved spacetime at finite temperature, considering gauge invariance and background charge effects, and explores high-temperature behavior through various methods.

Contribution

It introduces a comprehensive analysis of Bose-Einstein condensation for interacting scalar fields in curved spacetime, including gauge invariance and background charge considerations.

Findings

High-temperature behavior derived using multiple approaches

Conditions for Bose-Einstein condensation in curved spacetime analyzed

Impact of background charge on phase transition explored

Abstract

We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a finite background charge is included. Different approaches to derive the relevant high-temperature behaviour of the theory are presented.