Document Type

Article

Publication Date

6-14-2001

Publication Title

Physical Review B - Condensed Matter and Materials Physics

Abstract

We apply the nonperturbative optimized linear δ expansion method to the O(N) scalar field model in three dimensions to determine the transition temperature of a dilute homogeneous Bose gas. Our results show that the shift of the transition temperature ΔTc/Tc of the interacting model, compared with the ideal-gas transition temperature, really behaves as γan1/3 where a is the s-wave scattering length and n is the number density. For N=2 our calculations yield the value γ=3.059.

DOI

10.1103/PhysRevB.64.014515

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