2+1 Flavor Lattice QCD toward the Physical Point

By S. Aoki, K. Ishikawa, N. Ishizuka, T. Izubuchi, D. Kadoh, K. Kanaya, Y. Kuramashi, Y. Namekawa, M. Okawa, Y. Taniguchi and 3 more. 2008

367 citations recorded by the source corpus.

We present the first results of the PACS-CS project which aims to simulate 2+1 flavor lattice QCD on the physical point with the nonperturbatively O(a)-improved Wilson quark action and the Iwasaki gauge action. Numerical simulations are carried out at {beta} = 1.9, corresponding to the lattice spacing of a = 0.0907(13) fm, on a 32{sup 3} x 64 lattice with the use of the domain-decomposed HMC algorithm to reduce the up-down quark mass. Further algorithmic improvements make possible the simulation whose up-down quark mass is as light as the physical value. The resulting pseudoscalar meson masses range from 702 MeV down to 156 MeV, which clearly exhibit the presence of chiral logarithms. An analysis of the pseudoscalar meson sector with SU(3) chiral perturbation theory reveals that the next-to-leading order corrections are large at the physical strange quark mass. In order to estimate the physical up-down quark mass, we employ the SU(2) chiral analysis expanding the strange quark contributions analytically around the physical strange quark mass. The SU(2) low energy constants T{sub 3} and T{sub 4} are comparable with the recent estimates by other lattice QCD calculations. We determine the physical point together with the lattice spacing employing m{sub {pi}}, m{submore » K} and m{sub {Omega}} as input. The hadron spectrum extrapolated to the physical point shows an agreement with the experimental values at a few % level of statistical errors, albeit there remain possible cutoff effects. We also find that our results of f{sub {pi}}, f{sub K} and their ratio, where renormalization is carries out perturbatively at one loop, are compatible with the experimental values. For the physical quark masses we obtain m{sub ud}{sup MS{sup -}} and m{sub s}{sup MS{sup -}} extracted from the axial-vector Ward-Takahashi identity with the perturbative renormalization factors. We also briefly discuss the results for the static quark potential.« less

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d91bd3747615e2254b5023b52a28b72c7da00b5c

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In Nuclear and High Energy Physics

Citations in the corpus

FLAG Review 2019 (2019, methodology): “062(8) PACS-CS 08, SU(2)-fit [162] 2+1 A ⋆ 89.”
Baryons as relativistic three-quark bound states (2016, background): “Only lattice data for the ∆ ground state are shown; data for the excited ∆ give values too high to be visible in the plot [396, 400, 402, 418].”
Light Hadron Masses from Lattice QCD (2012, methodology): “In (Aoki et al., 2010), the PACS-CS collaboration has reweighted one ensemble to the physical point directly while the RBC-UKQCD collaboration (Aoki et al., 2011) followed a mixed strategy where the ensembles were first reweighted to the physical strange quark mass and a subsequent extrapolation to ”
Review of lattice results concerning low-energy particle physics (2010, methodology): “Collaboration Ref. pu bl ic at io n st at us ch ir al ex tr ap ol at io n co nt in uu m ex tr ap ol at io n fin it e vo lu m e re no rm al iz at io n ru nn in g mud ms PACS-CS 10 [64] P ⋆ ⋆ a 2.78(27) 86.7(2.3) MILC 10A [103] C • ⋆ ⋆ • − 3.19(4)(5)(16) – HPQCD 10 [104] A • ⋆ ⋆ ⋆ − 3.39(6)∗ 92.2(1.3)”
Kaon Decays in the Standard Model (2011, neutral): “…= 38.408± 0.007 (µs)−1 (4.14) and of the kaon (Antonelli et al., 2010b) ΓKµ2(γ) = 51.25± 0.16 (µs)−1, (4.15) 2 Based on the results from Allton et al. (2008); Aoki et al. (2009); Aubin et al. (2008, 2004); Bazavov et al. (2010, 2009); Beane et al. (2007); Bernard et al. (2007); Blossier et al.…”
Review of lattice results concerning low-energy particle physics (2016, methodology): “9(2)(3) PACS-CS 08, SU(3)-fit [93] 2+1 A ⋆ 3.”