Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate

Abstract

Using variational perturbation theory, we calculate the shift in the critical temperature Tc up to five loops to lowest order in the scattering length a and find Delta Tc/Tc(0) approx (1.140.11)an1/3, where n is the particle density. Our result is lower than the latest Monte Carlo result (1.320.02)an1/3.

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