Bose-Einstein condensation of scalar fields on hyperbolic manifolds

TL;DR

This paper investigates Bose-Einstein condensation of a relativistic ideal gas on a hyperbolic 3+1 dimensional manifold, focusing on how curvature influences the critical temperature for condensation.

Contribution

It provides a detailed analysis of Bose-Einstein condensation in curved spacetime, specifically on hyperbolic manifolds, and evaluates the critical temperature's dependence on curvature.

Findings

Critical temperature depends on the curvature of the hyperbolic manifold

The analysis reveals how geometry influences phase transition conditions

The study extends understanding of quantum gases in curved spacetime

Abstract

The problem of Bose-Einstein condensation for a relativistic ideal gas on a 3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some detail. The critical temperature is evaluated and its dependence of curvature is pointed out.