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= 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 …
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 π and ρ masses at a fixed m π/m ρ ratio indicate small O …
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 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 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.
American Physical Society
以上显示的是最相近的搜索结果。 查看全部搜索结果