Comment on "The Transition Temperature of the Dilute Interacting Bose   Gas" and on "Transition Temperature of a Uniform Bose Gas"
  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 weakly interacting Bose gas can be calculated perturbatively. And second, that the regime considered by Huang [Phys. Rev. Lett 83, 3770 (1999)] while addressing the same issue does not describe the Bose-Einstein condensed phase. 
Adriaan M. J. Schakel (Helsinki University of Technology; Free   University Berlin)