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A new criterion for chiral symmetry in lattice theories of fermions is derived within a block-spin formalism. This "remnant" symmetry criterion properly incorporates the Adler Bell-Jackiw anomaly and avoids the fermion-doubling problem of other lattice fermion methods. Some obstacles to implementing this approach in the presence of fully dynamical gauge fields are discussed.
Ginsparg et al. (Sat,) studied this question.