出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We review recent results for the chiral behavior of meson masses and decay constants and the
determination of the light quark masses by the RBC and UKQCD collaborations. We find that
one-loop SU(2) chiral perturbation theory represents the behavior of our lattice data better than
one-loop SU(3) chiral perturbation theory in both the pion and kaon sectors.
The simulations have been performed using the Iwasaki gauge action at two different lattice spacings
with the physical spatial volume held approximately fixed at (2.7fm)3. The Domain Wall
fermion formulation was used for the 2+1 dynamical quark flavors: two (mass degenerate) light
flavors with masses as light as roughly 1/5 the mass of the physical strange quark mass and one
heavier quark flavor at approximately the value of the physical strange quark mass.
On the ensembles generated with the coarser lattice spacing, we obtain for the
physical average up- and down-quark and strange quark masses mMS
ud (2GeV) =
3.72(0.16)stat(0.33)ren(0.18)systMeV and mMS
s (2GeV) = 107.3(4.4)stat(9.7)ren(4.9)systMeV, respectively,
while we find for the pion and kaon decay constants fp = 124.1(3.6)stat(6.9)systMeV,
fK = 149.6(3.6)stat(6.3)systMeV. The analysis for the finer lattice spacing has not been fully
completed yet, but we already present some first (preliminary) results.
