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HK: Fachverband Hadronen und Kerne

HK 67: Poster Session

HK 67.62: Poster

Thursday, March 19, 2009, 14:00–16:00, Audi-Max

Nonperturbative renormalization group for many fermion systems: from cold atoms to hadron matter — •boris krippa — University of manchester, manchester, m13 9pl

The application of the nonperturbative renormalisation group to many-fermion systems with a short-range attractive force is studied. Assuming an ansatz for the effective action with fermions and effective bosons, describing pairing effects, a set of approximate flow equations for the effective coupling including boson and fermion loop contribution has been derived. The phase transition to a state with broken symmetry is found at a critical value of the running scale. Both BEC and BCS regimes as well as crossover between them are identified and studied. The known mean-field results in both regimes are recovered if boson-loop effects are omitted. The developed approach is applied to the variety of many fermion systems such as nuclear/neutron/quark matter and cold fermionic atoms.