Chiral structure of the solutions of the Ginsparg-Wilson relation

Details Chiral structure of the solutions of the Ginsparg-Wilson relation Chiral structure of the solutions of the Ginsparg-Wilson relation

1998-06-27

arxiv.org/abs/hep-lat/9806031v1

Phys.Lett.B438:321-326,1998

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, Latex, no figures

Scientific paper

10.1016/S0370-2693(98)00982-4

We analyse the structure of solutions of the Ginsparg-Wilson relation for lattice Dirac operator in topologically trivial gauge sector. We show that the properties of such solutions relating to the perturbative stability of the pole of the fermion propagator as well as to the structure of the Yukawa models based on these solutions are solely determined by the non-local chirally invariant part of these Dirac operators. Depending on the structure of this part, the pole in the fermion propagator may or may not be stable under radiative corrections. We illustrate this by explicit examples.

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