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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 , through the study of the Lee-Yang zeros and the specific heat. We find compelling evidence for a critical line ending at at large . Finite size scaling analysis on lattices $8^2,12^2,16^2, 20^224^2$ indicates a continuous transition. The hyperscaling relation is verified in the explored region.

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