Critical Behaviour of a Homogeneous Bose Gas at Finite Temperature

TL;DR

This paper analyzes the critical behavior of a homogeneous Bose gas at finite temperature, revealing a second-order phase transition with specific critical exponents using renormalization group techniques.

Contribution

It provides a detailed renormalization group analysis of the phase transition in a homogeneous Bose gas, including the calculation of the critical exponent.

Findings

Phase transition is second order.

Effective chemical potential and quartic coupling vanish at critical temperature.

Critical exponent ν = 0.73 at leading order.

Abstract

A homogeneous non-relativistic Bose gas is investigated at finite temperature using renormalization group methods. The phase transition is shown to be second order and the effective chemical potential and the effective quartic coupling vanish at the critical temperature. We obtain the critical exponent $\nu =0.73$ at leading order in the derivative expansion.