Superfluidity in many fermion systems: Exact renormalisation group treatment
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0610237,
title = {Superfluidity in many fermion systems: Exact renormalisation group treatment},
author = {Boris Krippa},
journal= {arXiv preprint arXiv:hep-ph/0610237},
year = {2008}
}
Comments
Talk given at the IVth International Conference on Quarks and Nuclear Physics (QNP06), Madrid, 5-10 June 2006