2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190280The chiral symmetry relation and scaling of the overlap fermions are studied numerically on the quenched lattices at 3 couplings with about the same physical volume. We find that the generalized Gell-Mann-Oakes-Renner relation is satisfied to better than 1% down to the smallest quark mass at $m_0a = 0.006$. We also obtain the quark mass from the PCAC relation and the pseudoscalar masses. The renormalization group invariant quark mass is shown to be fairly independent of scale. The $π$ and $ρ$ masses at a fixed $m_π/m_ρ$ ratio indicate small $O(a^2)$ corrections. It is found that the critical slowing down sets in abruptly at a very small quark mass close to those of the physical u and d quarks.8 pages, 5 figures, re-worked references and corrected minor typosHigh Energy Physics - Latticetext