Nonlocal lattice fermion models on the 2d torus

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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16 pages, LaTeX, 5 eps figures, uses epsf.sty, rotate.sty

Scientific paper

10.1007/BF02575503

Abelian fermion models described by the SLAC action are considered on a finite 2d lattice. It is shown that modification of these models by introducing additional Pauli - Villars regularization supresses nonlocal effects and provides agreement with the continuum results in vectorial U(1) models. In the case of chiral fermions the phase of the determinant differs from the continuum one.

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