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Nuclear Physics A

Exact Renormalisation Group and pairing in many-fermion systems

Boris Krippa, Michael C. Birse, Niels R. Walet, Judith A. McGovern

Published Feb 10, 2005• 8 citations
Publisher
DOI
10.1016/j.nuclphysa.2004.12.022

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The application of the exact renormalisation group to symmetric as well as asymmetric many-fermion systems with a short-range attractive force is studied. Assuming an ansatz for the effective action with effective bosons, describing pairing effects a set of approximate flow equations for the effective coupling including boson and fermionic fluctuations has been derived. 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 are shown to lead to a similar results. We find that, being quite small in the case of the symmetric many-fermion system the corrections to mean field approximation becomes more important with increasing mass asymmetry.