Critical Behavior of the Schwinger Model with Wilson Fermions

Abstract

We present a detailed analysis, in the framework of the MFA approach, of the critical behaviour of the lattice Schwinger model with Wilson fermions on lattices up to $24^2$, through the study of the Lee-Yang zeros and the specific heat. We find compelling evidence for a critical line ending at $\kappa =0.25$ at large $\beta$. Finite size scaling analysis on lattices $8^2,12^2,16^2,20^2$ and $24^2$ indicates a continuous transition. The hyperscaling relation is verified in the explored $\beta$ region.

Comments: 12 pages LaTeX file, 10 figures in one uuencoded compressed postscript file. Report LNF-95/049(P)