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We propose a novel parametrization of the four-point vertex function in theone-loop one-particle irreducible renormalization group (RG) scheme forfermions. It is based on a decomposition of the effective two-fermioninteraction into fermion bilinears that interact via exchange bosons. Besidesbeing more efficient than previous N-patch schemes, this parametrization alsoreduces the ambiguity of introducing boson fields. We apply thisparametrization to the two-dimensional (t,t')-Hubbard model using a novel$\Omega$-frequency regularization.

Efficient Fermionic One-Loop RG for the 2D Hubbard Model at Van Hove Filling