Transition Temperature for Weakly Interacting Homogeneous Bose Gases

Details Transition Temperature for Weakly Interacting Homogeneous Bose Gases Transition Temperature for Weakly Interacting Homogeneous Bose Gases

2000-07-10

arxiv.org/abs/cond-mat/0007151v2

Phys.Rev. B64 (2001) 014515

Physics

Condensed Matter

Statistical Mechanics

9 pages, REVTEX. New sections added, revised and extended text, new refs

Scientific paper

10.1103/PhysRevB.64.014515

We apply the non-perturbative optimized linear $\delta$ 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, $\Delta T_c/T_c$, of the interacting model, compared with the ideal gas transition temperature, really behaves as $\gamma a n^{1/3}$ where $a$ is the s-wave scattering length and $n$ is the number density. For $N= 2$ our calculations yield the value $\gamma= 3.059$.

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