Chiral symmetry, quark mass, and scaling of the overlap fermions

The chiral symmetry relation and scaling of the overlap fermions are studie d numerically on the quenched lattices at 3 couplings with about the same p hysical volume. We find that the generalized Gell-Mann-Oakes-Renner relatio n is satisfied to better than 1% down to the smallest quark mass at m(0)a = 0.006. We also obtain the quark mass from the PCAC relation and the pseudo scalar masses. The renormalization group invariant quark mass is shown to b e fairly independent of scale. The pi and p masses at a fixed m(pi)/m(rho) ratio indicate small O(a(2)) corrections. It is found that the critical slo wing down sets in abruptly at a very small quark mass close to those of the physical it and d quarks.