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Transition Temperature for Weakly Interacting Homogeneous Bose Gases

Frederico F. de Souza Cruz·Marcus B. Pinto·Rudnei O. Ramos
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Abstract

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

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Frederico F. de Souza Cruz, Marcus B. Pinto, Rudnei O. Ramos. 2001-04-03. Transition Temperature for Weakly Interacting Homogeneous Bose Gases. https://doi.org/10.1103/physrevb.64.014515

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