Abstract
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.
Original language | English |
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Pages (from-to) | 5051-5054 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 85 |
Issue number | 24 |
DOIs | |
State | Published - 2000 |
ASJC Scopus subject areas
- General Physics and Astronomy