Quantum Effects in the Three-Dimensional Dilute Bose System at Finite Temperature: Renormalization Group Approach

Abstract

We consider the influence of temperature on the critical behavior of the weakly interacting three-dimensional Bose system. Using the flow equations of the Renormalization group and a Φ 4 model with dynamical critical exponent z = 2, we calculated the critical exponent ν, and the thermodynamic parameters near the critical temperature, taking into consideration the quantum effects. The quantum effects considered in this method gives ν the value 0.75, which is close to the value 0.73 obtained by the polynomial method. The critical temperature shift ∆Tc was obtained, in the lowest order approximation, proportional to the scattering length.