The 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 m0a=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 mπ/mρ ratio indicate small O(a2) 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.
|Number of pages||4|
|Journal||Physical Review Letters|
|State||Published - 2000|
ASJC Scopus subject areas
- Physics and Astronomy (all)