Exact Renormalisation Group and pairing in many-fermion systems

We consider pairing phenomena in the framework of the exact renormalisation group. 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 fluctua...

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Bibliographic Details
Published in:Nuclear physics. A 2005-03, Vol.749, p.134-137
Main Authors: Krippa, B., Birse, M.C., Walet, N.R., McGovern, J.A.
Format: Article
Language:English
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Summary:We consider pairing phenomena in the framework of the exact renormalisation group. 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 renor- malising 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.
ISSN:0375-9474
DOI:10.1016/j.nuclphysa.2004.12.022