By exploiting chiral symmetry, we derive analytic formulas far the massless
and the massive Ginsparg-Wilson fermion propagators. Using these formulas,
we derive an expression for the chiral condensate which is the order param
eter for spontaneous chiral symmetry breaking in QCD. These formulas provid
e the proper way to compute the fermion propagators and may save a signific
ant amount of computing time especially for large lattices in four dimensio
ns. [S0556-2821(99)00415-4].