Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas

TL;DR

This paper applies renormalization group methods to analyze the three-dimensional dilute Bose gas, predicting critical temperature and superfluid properties based on microscopic interactions.

Contribution

It introduces a renormalization group approach that incorporates microscopic interaction details to predict nonuniversal properties of the dilute Bose gas.

Findings

Predicted the critical temperature of the Bose gas.

Calculated superfluid and condensate densities.

Provided insights into nonuniversal properties based on microscopic interactions.

Abstract

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group equations and thus obtain also information on nonuniversal properties. As a result, we can predict for instance the critical temperature of the gas and the superfluid and condensate density of the Bose-Einstein condensed phase in the regime $na\Lambda_{th}^2\ll 1$.