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

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

1998-11-06

arxiv.org/abs/cond-mat/9811096v2

Phys.Rev. A60 (1999) 1442-1550

Physics

Condensed Matter

20 pages, 6 Postscript figures, revtex

Scientific paper

10.1103/PhysRevA.60.1442

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.

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