Massless Fermions on the Lattice

Abstract

We consider a nonlocal lattice action for fermions fermion doubling in lattice theories. It is shown, that it is possible to avoid the fermionic doubling in the case of free fermions, but this approach does not reproduce results for the effective action for gauge fields in the continuum theory, because the high frequency fermion modes have a strong dependence on the gauge field.

Comments: 16 pages, LATEX, 1 Figure (uuencoded PS-file is attached to the end of the LATEX file)