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Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions

S. J. Dong·F. X. Lee·K. F. Liu·J. B. Zhang
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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 $m_0a = 0.006$. 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.

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S. J. Dong, F. X. Lee, K. F. Liu, J. B. Zhang. 2000-06-16. Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions. https://doi.org/10.1103/physrevlett.85.5051

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