GW fermion propagators and chiral condensate

Abstract

By exploiting the chiral symmetry, we derive analytic formulas for the massless and the massive Ginsparg-Wilson fermion propagators. Using these formulas, we derive an expression for the chiral condensate which is the order parameter for spontaneous chiral symmetry breaking in QCD. These formulas provide the proper way to compute the fermion propagators and may save a significant amount of computing time especially for large lattices in four dimensions.

Comments: 7 pages, minor modifications after Eq. (22), to appear in Phys. Rev. D