Abstract
We present a Monte Carlo calculation for up to N∼20000 bosons in 3D to determine the shift of the transition temperature due to small interactions a. We generate independent configurations of the ideal gas. At finite N, the superfluid density changes by a certain correlation function in the limit a→0; the N→∞ limit is taken afterwards. We argue that our result is independent of the order of limits. Detailed knowledge of the noninteracting system for finite N allows us to avoid finite-size scaling assumptions.
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