Transition temperature of dilute, weakly repulsive Bose gas
Ruckenstein, Andrei E.
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Citation (published version)Masudul Haque, Andrei E Ruckenstein. 2002. "Transition Temperature of Dilute, Weakly Repulsive Bose Gas."
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√|ln 𝑎|-like shift in T_c, and the other allows numerical calculations for the shift.