Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
| dc.creator | Dong, S. J. | |
| dc.creator | Lee, F. X. | |
| dc.creator | Liu, K. F. | |
| dc.creator | Zhang, J. B. | |
| dc.date | 2000-06-01 | |
| dc.date | 2000-06-16 | |
| dc.date.accessioned | 2026-07-07T11:08:52Z | |
| dc.date.available | 2026-07-07T11:08:52Z | |
| dc.description | 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. | |
| dc.description | 8 pages, 5 figures, re-worked references and corrected minor typos | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0006004 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0006004 | |
| dc.identifier | Phys.Rev.Lett.85:5051-5054,2000 | |
| dc.identifier | doi:10.1103/PhysRevLett.85.5051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190280 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions | |
| dc.type | text |