Renormalization group and scaling within the Microcanonical Fermionic Average approach

The MFA approach for simulations with dynamical fermions in lattice gauge theories allows in principle to explore the parameters space of the theory (e.g. the $\beta, m$ plane for the study of chiral condensate in QED) without the need of computing the fermionic determinant at each point. We exploit this possibility for extracting both the renormalization group trajectories ("constant physics lines") and the scaling function, and test it in the Schwinger model. We discuss the applicability of this method to realistic theories.