Abstract
We consider pairing phenomena in the framework of the exact renormalization group. We introduce a boson field to describe pairing effects, and take a simple ansatz for the effective action. We derive a set of approx. flow equations for the effective coupling including boson and fermionic fluctuations. The initial conditions are obtained by renormalizing the interaction to fit the scattering length in vacuum. At some crit. value of the running scale, the numerical solns. show a phase transition to a gapped phase. Std. results are recovered if we omit the boson loops. [on SciFinder (R)]
| Original language | English |
|---|---|
| Journal | Nuclear Physics A |
| Volume | A749 |
| Publication status | Published - 2005 |
Keywords
- Attractive force (application of exact renormalization group to many-fermion system with short-range attractive force, introducing a boson field to describe pairing effects and simple ansatz for effective action); Field theory (effective; exact renormalization group treatment of pairing in many-fermion systems in framework inspired by); Nuclear model; Renormalization group theory (exact renormalization group treatment of pairing in many-fermion systems in framework inspired by effective field theory); Fermions Role: PRP (Properties) (exact renormalization group treatment of pairing in many-fermion systems in framework inspired by effective field theory); Pair potential (nuclear; exact renormalization group treatment of pairing in many-fermion systems in framework inspired by effective field theory); Elementary particle force; Nuclear potential; Potential energy (pairing; exact renormalization group treatment of pairing in many-fermion systems in framework inspired by effective field theory)