Abstract

A global chiral-invariant lattice fermionic action which solves the species-doubling problem of free Dirac fermions on a lattice for (even) dimensions of space-time less than 8 is systematically studied in perturbation theory in two space-time dimensions when a gauge interaction is present. The decoupling of the replica fermions requires one to give up gauge symmetry for a finite lattice spacing but the quantum continuum limit is gauge invariant and reproduces the results of the continuum Schwinger model with one flavor.

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