New Formulation for the Lattice-Fermion Derivative: Locality and Chirality without Spectrum Doubling

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Abstract
We present a formulation for the lattice-fermion derivative which is both local and explicitly chiral. Provided that the continuum and infinite-volume limits are taken properly, the formulation avoids spectrum doubling, and gives a satisfactory weak-coupling perturbation theory for the case of Yukawa-coupled scalars. For gauge theories we find that a sum over long string paths must be introduced in order to maintain the correct weak-coupling perturbation theory in the continuum limit.

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