Bose-Einstein condensation for a self-interacting theory in curved spacetime

TL;DR

This paper derives the effective action for a self-interacting field with fixed charge in curved spacetime at finite temperature, analyzing phase transitions and high-temperature behavior in a relativistic setting.

Contribution

It provides a novel high-temperature expansion of the effective action for an $O(2)$ symmetric theory in curved spacetime, including phase transition analysis.

Findings

High-temperature expansion of the effective action obtained.

Discussion of phase transition in homogeneous spacetime.

Analysis relevant for relativistic temperature regimes.

Abstract

The effective action is derived for a self-interacting theory with a finite fixed $O(2)$ charge at finite temperature in curved spacetime. We obtain the high temperature expansion of the effective action in the weak coupling limit. In the relativistic temperature, we discuss about the phase transition in a homogeneous spacetime.