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.

• Received 14 February 1989

DOI:https://doi.org/10.1103/PhysRevD.40.4123