Transition Temperature of the homogeneous, weakly interacting Bose gas

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Abstract
We present a Monte Carlo calculation for up to N \sim 20000 bosons in 3 D to determine the shift of the transition temperature due to small interactions. We generate independent configurations of the ideal gas; the superfluid density changes by a certain correlation function. Detailed knowledge of the non-interacting system for finite N allows us to avoid finite-size scaling assumptions.

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