Light meson spectrum with $N_f=2+1$ dynamical overlap fermions

J. Noaki; S. Aoki; T. W. Chiu; H. Fukaya; S. Hashimoto; T. H. Hsieh; T. Kaneko; H. Matsufuru; T. Onogi; E. Shintani; N. Yamada

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arXiv · 0810.1360

Light meson spectrum with $N_f=2+1$ dynamical overlap fermions

J. Noaki·S. Aoki·T. W. Chiu·H. Fukaya·S. Hashimoto·T. H. Hsieh·T. Kaneko·H. Matsufuru·T. Onogi·E. Shintani·N. Yamada

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Abstract

We report on a numerical simulation with 2+1 dynamical flavors of overlap fermions. We calculate pseudo-scalar masses and decay constants on a $16^3\times 48 \times (0.11 {\rm fm})^4$ lattice at five different up and down quark masses and two strange quark masses. The lightest pion mass corresponds to $\approx 310$ MeV. We also study the validity of the chiral perturbation theory using the results of the numerical simulation with two dynamical flavors and conclude that the one-loop formulae cannot be directly applied in the strange quark mass region. We therefore extrapolate our 2+1-flavor results to the chiral limit by fitting the data to the two-loop formulae of the chiral perturbation theory.

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J. Noaki, S. Aoki, T. W. Chiu, H. Fukaya, S. Hashimoto, T. H. Hsieh, T. Kaneko, H. Matsufuru, T. Onogi, E. Shintani, N. Yamada. 2008-10-08. Light meson spectrum with $N_f=2+1$ dynamical overlap fermions. https://arxiv.org/abs/0810.1360

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