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Superfluidity within Exact Renormalisation Group approach

Nuclear Theory 2014-11-18 v1 Superconductivity High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.nucl-th/0512083,
  title  = {Superfluidity within Exact Renormalisation Group approach},
  author = {Boris Krippa},
  journal= {arXiv preprint arXiv:nucl-th/0512083},
  year   = {2014}
}

Comments

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