Physics – Condensed Matter
Scientific paper
2003-07-16
Physics
Condensed Matter
14 pages, 5 figures
Scientific paper
10.1103/PhysRevA.69.043614
We apply perturbative renormalization group theory to the symmetric phase of a dilute interacting Bose gas which is trapped in a three-dimensional harmonic potential. Using Wilsonian energy-shell renormalization and the epsilon-expansion, we derive the flow equations for the system. We relate these equations to the flow for the homogeneous Bose gas. In the thermodynamic limit, we apply our results to study the transition temperature as a function of the scattering length. Our results compare well to previous studies of the problem.
Alber Gernot
Metikas Georgios
Zobay O.
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