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

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 m(0)a =...

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Bibliographic Details
Published in:Physical review letters 2000-12, Vol.85 (24), p.5051-5054
Main Authors: Dong, SJ, Lee, FX, Liu, KF, Zhang, JB
Format: Article
Language:English
Subjects:
CHIRAL SYMMETRY
D QUARKS
FERMIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PSEUDOSCALARS
QUARKS
RENORMALIZATION
SLOWING-DOWN
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Summary: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 m(0)a = 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 pi and rho masses at a fixed m(pi)/m(rho) 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.85.5051