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

S. J. Dong, F. X. Lee, K. F. Liu, J. B. Zhang

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


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 languageEnglish
Pages (from-to)5051-5054
Number of pages4
JournalPhysical Review Letters
Issue number24
StatePublished - 2000

ASJC Scopus subject areas

  • General Physics and Astronomy


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