Transition Temperature of Dilute, Weakly Repulsive Bose Gas

Details Transition Temperature of Dilute, Weakly Repulsive Bose Gas Transition Temperature of Dilute, Weakly Repulsive Bose Gas

2002-12-25

arxiv.org/abs/cond-mat/0212590v3

Physics

Condensed Matter

8 pages, 3 figures, revtex4

Scientific paper

Within a quasiparticle framework, we reconsider the issue of computing the Bose-Einstein condensation temperature ($T_c$) in a weakly non-ideal Bose gas. The main result of this and previous investigations is that $T_c$ increases with the scattering length $a$, with the leading dependence being either linear or log-linear in $a$. The calculation of $T_c$ reduces to that of computing the excitation spectrum near the transition. We report two approaches to regularizing the infrared divergence at the transition point. One leads to a $a\sqrt{|\ln{a}|}$-like shift in $T_c$, and the other allows numerical calculations for the shift.

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