Effect of Interactions on the Critical Temperature of a Dilute Bose gas

Abstract

Due to the observation of Bose-Einstein condensation in dilute atomic 87Rb and 23Na vapors last year, there is currently a great interest in the properties of a degenerate Bose gas. One aspect that is not yet understood is the effect of the interatomic interactions on the critical temperature of the phase transition. We present here a renormalization group study of the weakly-interacting Bose gas and predict the critical temperature at which Bose-Einstein condensation occurs as a function of the (positive) scattering length a of the interatomic potential.

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