It is pointed out that first, contrary to the claim by Baym et al.[Phys. Rev.Lett 83, 1703 (1999)], the shift in the transition temperature of a weaklyinteracting Bose gas can be calculated perturbatively. And second, that theregime considered by Huang [Phys. Rev. Lett 83, 3770 (1999)] while addressingthe same issue does not describe the Bose-Einstein condensed phase.
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