Three-dimensional dilute Bose liquid at finite temperature: a Renormalization Group approach

We consider the influence of temperature on the critical behavior of a weakly interacting three dimensional Bose system. Using the flow equations of the Renormalization Group and a Φ⁴ model with dynamical critical exponent z?=?2, we calculated the critical exponent ν, and the thermodynamical parameters near the critical temperature, taking in consideration the quantum effects. The quantum effects considered using this method gives for ν the value 0.75, which is close to the value 0.73 obtained by the polynomial method. The critical temperature shift ΔT _c was obtained, in the lowest-order approximation, and turns out to be proportional to the scattering length.