CHIRAL STRUCTURE OF THE SOLUTIONS OF THE GINSPARG-WILSON RELATION

We analyse the structure of solutions of the Ginsparg-Wilson relation for lattice Dirac operator in topologically trivial gauge sector. We s how that the properties of such solutions relating to the perturbative stability of the pole of the fermion propagator as well as to the str ucture of the Yukawa models based on these solutions are solely determ ined by the non-local chirally invariant part of these Dirac operators . Depending on the structure of this part, the pole in the fermion pro pagator may or may not be stable under radiative corrections. We illus trate this by explicit examples. (C) 1998 Elsevier Science B.V. All ri ghts reserved.