Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite Temperature

Abstract

A homogeneous Bose gas is investigated at finite temperature using renormalization group techniques. A non--perturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of these equations show that the system undergoes a second order phase transition in accordance with universality arguments. We obtain the critical exponent $\nu =0.73$ to leading order in the derivative expansion.

20 pages, 6 Postscript figures, revtex

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