Symmetry Aspects in Nonrelativistic Multi-Scalar Field Models and Application to a Coupled Two-Species Dilute Bose Gas

TL;DR

This paper explores symmetry behaviors in nonrelativistic multi-scalar field models at finite temperature, highlighting the absence of inverse symmetry breaking and symmetry non-restoration, but identifying reentrant phases in certain models, with applications to Bose-Einstein condensation.

Contribution

It analyzes symmetry phenomena in nonrelativistic multi-scalar models and applies findings to Bose-Einstein condensation, revealing phase transition patterns and the absence of reentrant phases.

Findings

Inverse symmetry breaking and symmetry non-restoration do not occur in nonrelativistic models.

Reentrant phase at high temperatures is possible in some parameter regions.

No reentrant phases are observed in the Bose-Einstein condensation application.

Abstract

We discuss unusual aspects of symmetry that can happen due to entropic effects in the context of multi-scalar field theories at finite temperature. We present their consequences, in special, for the case of nonrelativistic models of hard core spheres. We show that for nonrelativistic models phenomena like inverse symmetry breaking and symmetry non-restoration cannot take place, but a reentrant phase at high temperatures is shown to be possible for some region of parameters. We then develop a model of interest in studies of Bose-Einstein condensation in dilute atomic gases and discuss about its phase transition patterns. In this application to a Bose-Einstein condensation model, however, no reentrant phases are found.