Bosonic effective action for interacting fermions

Details Bosonic effective action for interacting fermions Bosonic effective action for interacting fermions

2002-08-19

arxiv.org/abs/cond-mat/0208361v3

Physics

Condensed Matter

Strongly Correlated Electrons

new sections on exact mapping between attractive and repulsive Hubbard model and relation between two-particle-irreducible for

Scientific paper

We compare different versions of a bosonic description for systems of interacting fermions, with particular emphasis on the free energy functional. The bosonic effective action makes the issue of symmetries particularly transparent and we present for the Hubbard model an exact mapping between repulsive and attractive interactions. A systematic expansion for the bosonic effective action starts with a solution to the lowest order Schwinger-Dyson or gap equation. We propose a two particle irreducible formulation of an exact functional renormalization group equation for computations beyond leading order. On this basis we suggest a renormalized gap equation. This approach is compared with functional renormalization in a partially bosonized setting.

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