Renormalization group theory of the three-dimensional dilute Bose gas

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${\mathrm{\Lambda }}_{\mathit{th}}^2$≪1, where the average interaction energy is small compared to the average kinetic energy. © 1996 The American Physical Society.