The effect of a topological gauge field on Bose-Einstein condensation

TL;DR

This paper investigates how a topological gauge field influences Bose-Einstein condensation, revealing inhibition under most conditions for charged bosons but allowing fermion condensation at specific gauge field values.

Contribution

It demonstrates the contrasting effects of a topological gauge field on bosonic and fermionic condensations, highlighting conditions for their occurrence.

Findings

Bose-Einstein condensation is generally inhibited by the topological gauge field.

Fermions can condense for certain topological gauge field values.

Special topological field values enable fermion condensation despite bosonic inhibition.

Abstract

We show that Bose-Einstein condensation of charged scalar fields interacting with a topological gauge field at finite temperature is inhibited except for special values of the topological field. We also show that fermions interacting with this topological gauge field can condense for some values of the gauge field.