Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment

Details Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment

2004-06-23

arxiv.org/abs/hep-ph/0406249v1

Phys.Lett.B605:287-294,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages (RevTeX), 2 figures (eps)

Scientific paper

10.1016/j.physletb.2004.11.044

We study the application of the exact renormalisation group to a many-fermion system with a short-range attractive force. We introduce a boson field to describe pairing effects, and take a simple ansatz for the effective action. We derive a set of approximate flow equations for the effective coupling including boson and fermionic fluctuations. The initial conditions are obtained by renormalising the interaction to fit the scattering length in vacuum. At some critical value of the running scale, the numerical solutions show a phase transition to a gapped phase. Standard results are recovered if we omit the boson loops. When boson fluctuations are included, we find that their contributions are significant only in the small-gap regime.

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