Superfluidity within Exact Renormalisation Group approach

Details Superfluidity within Exact Renormalisation Group approach Superfluidity within Exact Renormalisation Group approach

2005-12-21

arxiv.org/abs/nucl-th/0512083v1

J.Phys. A39 (2006) 8075-8088

Physics

Nuclear Physics

Nuclear Theory

17 pages, 3 figures, to appear in the proceedings of Renormalization Group 2005 (RG 2005), Helsinki, Finland, 30 Aug - 3 Sep 2

Scientific paper

10.1088/0305-4470/39/25/S19

The application of the exact renormalisation group to a many-fermion system with a short-range attractive force is studied. We assume a simple ansatz for the effective action with effective bosons, describing pairing effects and derive a set of approximate flow equations for the effective coupling including boson and fermionic fluctuations. The phase transition to a phase with broken symmetry is found at a critical value of the running scale. The mean-field results are recovered if boson-loop effects are omitted. The calculations with two different forms of the regulator was shown to lead to similar results.

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