Condensation of an ideal gas obeying non-Abelian statistic

TL;DR

This paper investigates the thermodynamic geometry of an ideal non-Abelian gas, revealing a phase transition similar to Bose-Einstein condensation at specific parameters and calculating the transition temperature across dimensions.

Contribution

It demonstrates the existence of a condensation phenomenon in non-Abelian gases through thermodynamic curvature analysis and determines the phase transition temperature in different dimensions.

Findings

Thermodynamic curvature exhibits a singularity indicating condensation.

Phase transition temperature is calculated for various dimensions.

Non-Abelian statistics lead to Bose-Einstein-like condensation phenomena.

Abstract

We consider the thermodynamic geometry of an ideal non-Abelian gas. We show that, for a certain value of the fractional parameter and at the relevant maximum value of fugacity, the thermodynamic curvature has a singular point. This indicates a condensation such as Bose-Einstein condensation for non-Abelian statistics and we work out the phase transition temperature in various dimensions.