Transition Temperature of the Homogeneous, Weakly Interacting Bose Gas

@article{Holzmann1999TransitionTO,
  title={Transition Temperature of the Homogeneous, Weakly Interacting Bose Gas},
  author={Markus Holzmann and Werner Krauth},
  journal={Physical Review Letters},
  year={1999},
  volume={83},
  pages={2687-2690}
}
We present a Monte Carlo calculation for up to $N \sim 20 000$ bosons in 3 D 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 $a \to 0$; the $N \to \infty$ limit is taken afterwards. We argue that our result is independent of the order of limits. Detailed knowledge of the non-interacting system for finite $N… 

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