Critical behavior of a two-dimensional dilute Bose gas

We applied the Renormalization Group method at finite temperature to recons ider the two-dimensional dilute Bose gas. The general flow equations are ob tained for the case of arbitrary dimensions, and by considering the two-dim ensional limit, we estimate the value of the critical temperature, coherenc e length and specific heat. The value of the critical temperature is in agr eement with previous calculations performed using the t-matrix method. The coherence length and the specific heat present a non-universal behavior, a logarithmic temperature dependence in the critical region being identified.