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Critical Behavior of the Schwinger Model with Wilson Fermions

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arxiv hep-lat/9509039 v1 pith:PQUFYI3T submitted 1995-09-13 hep-lat

Critical Behavior of the Schwinger Model with Wilson Fermions

classification hep-lat
keywords criticalanalysisbetafermionslatticesmodelschwingerwilson
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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