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.

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

References in corpus (3)

• Strong Coupling Lattice Schwinger Model on Large Spherelike Lattices
• The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents
• Chiral phase transition in a lattice fermion--gauge--scalar model with U(1) gauge symmetry

Cited by in corpus (6)

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• Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions
• The Structure of the Aoki Phase at Weak Coupling
• Improved lattice QCD with quarks: the 2 dimensional case
• Baryonic thermal fluctuations in finite temperature QCD
• The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions