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Title: Continuum limit physics from 2+1 flavor domain wall QCD

Abstract

We present physical results obtained from simulations using 2+1 flavors of domain wall quarks and the Iwasaki gauge action at two values of the lattice spacing a, [a{sup -1} = 1.73(3) GeV and a{sup -1} = 2.28(3) GeV]. On the coarser lattice, with 24{sup 3} x 64 x 16 points (where the 16 corresponds to L{sub s}, the extent of the 5th dimension inherent in the domain wall fermion formulation of QCD), the analysis of C. Allton et al. Phys. Rev. D 78 is extended to approximately twice the number of configurations. The ensembles on the finer 32{sup 3} x 64 x 16 lattice are new. We explain in detail how we use lattice data obtained at several values of the lattice spacing and for a range of quark masses in combined continuum-chiral fits in order to obtain results in the continuum limit and at physical quark masses. We implement this procedure for our data at two lattice spacings and with unitary pion masses in the approximate range 290-420 MeV (225-420 MeV for partially quenched pions). We use the masses of the {pi} and K mesons and the {Omega} baryon to determine the physical quark masses and the values ofmore » the lattice spacing. While our data in the mass ranges above are consistent with the predictions of next-to-leading order SU(2) chiral perturbation theory, they are also consistent with a simple analytic ansatz leading to an inherent uncertainty in how best to perform the chiral extrapolation that we are reluctant to reduce with model-dependent assumptions about higher order corrections. In some cases, particularly for f{sub {pi}}, the pion leptonic decay constant, the uncertainty in the chiral extrapolation dominates the systematic error. Our main results include f{sub {pi}} = 124(2){sub stat}(5){sub syst} MeV, f{sub K}/f{sub {pi}} = 1.204(7)(25) where f{sub K} is the kaon decay constant, m{sub s}{sup MS} (2 GeV) = (96.2 {+-} 2.7) MeV and m{sub ud}{sup MS} (2 GeV) = (3.59 {+-} 0.21) MeV (m{sub s}/m{sub ud} = 26.8 {+-} 1.4) where m{sub s} and m{sub ud} are the mass of the strange quark and the average of the up and down quark masses, respectively, [{Sigma}{sup MS} (2 GeV)]{sup 1/3} = 256(6) MeV, where {Sigma} is the chiral condensate, the Sommer scale r{sub 0} = 0.487(9) fm and r{sub 1} = 0.333(9) fm.« less

Authors:
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Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL) Riken BNL Research Center
Sponsoring Org.:
DOE - OFFICE OF SCIENCE
OSTI Identifier:
1025474
Report Number(s):
BNL-95358-2011-JA
Journal ID: ISSN 1550-7998; PRVDAQ; R&D Project: PO-3; TRN: US1104903
DOE Contract Number:  
DE-AC02-98CH10886
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 83; Journal Issue: 7; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BARYONS; DECAY; DIMENSIONS; EXTRAPOLATION; FERMIONS; KAONS; LEPTONIC DECAY; MESONS; PERTURBATION THEORY; PHYSICS; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; riken bnl research center

Citation Formats

Aoki, Y., Izubuchi, T., Arthur, R., Blum, T., Boyle, P.A., Brommel, D., Christ, N.H., Dawson, C., Flynn, J.M., Jin, X.Y., Jung, C., Kelly, C., Li, M., Lichtl, A., Lightman, M., Lin, M.F., Mawhinney, R.D., Maynard,C.M., Ohta, S., Pendleton, B.J., Sachrajda, C.T., Scholz, E.E., Soni, A., Wennekers, J., Zanotti, J.M., and Zhou, R. Continuum limit physics from 2+1 flavor domain wall QCD. United States: N. p., 2011. Web. doi:10.1103/PhysRevD.83.074508.
Aoki, Y., Izubuchi, T., Arthur, R., Blum, T., Boyle, P.A., Brommel, D., Christ, N.H., Dawson, C., Flynn, J.M., Jin, X.Y., Jung, C., Kelly, C., Li, M., Lichtl, A., Lightman, M., Lin, M.F., Mawhinney, R.D., Maynard,C.M., Ohta, S., Pendleton, B.J., Sachrajda, C.T., Scholz, E.E., Soni, A., Wennekers, J., Zanotti, J.M., & Zhou, R. Continuum limit physics from 2+1 flavor domain wall QCD. United States. doi:10.1103/PhysRevD.83.074508.
Aoki, Y., Izubuchi, T., Arthur, R., Blum, T., Boyle, P.A., Brommel, D., Christ, N.H., Dawson, C., Flynn, J.M., Jin, X.Y., Jung, C., Kelly, C., Li, M., Lichtl, A., Lightman, M., Lin, M.F., Mawhinney, R.D., Maynard,C.M., Ohta, S., Pendleton, B.J., Sachrajda, C.T., Scholz, E.E., Soni, A., Wennekers, J., Zanotti, J.M., and Zhou, R. Fri . "Continuum limit physics from 2+1 flavor domain wall QCD". United States. doi:10.1103/PhysRevD.83.074508.
@article{osti_1025474,
title = {Continuum limit physics from 2+1 flavor domain wall QCD},
author = {Aoki, Y. and Izubuchi, T. and Arthur, R. and Blum, T. and Boyle, P.A. and Brommel, D. and Christ, N.H. and Dawson, C. and Flynn, J.M. and Jin, X.Y. and Jung, C. and Kelly, C. and Li, M. and Lichtl, A. and Lightman, M. and Lin, M.F. and Mawhinney, R.D. and Maynard,C.M. and Ohta, S. and Pendleton, B.J. and Sachrajda, C.T. and Scholz, E.E. and Soni, A. and Wennekers, J. and Zanotti, J.M. and Zhou, R.},
abstractNote = {We present physical results obtained from simulations using 2+1 flavors of domain wall quarks and the Iwasaki gauge action at two values of the lattice spacing a, [a{sup -1} = 1.73(3) GeV and a{sup -1} = 2.28(3) GeV]. On the coarser lattice, with 24{sup 3} x 64 x 16 points (where the 16 corresponds to L{sub s}, the extent of the 5th dimension inherent in the domain wall fermion formulation of QCD), the analysis of C. Allton et al. Phys. Rev. D 78 is extended to approximately twice the number of configurations. The ensembles on the finer 32{sup 3} x 64 x 16 lattice are new. We explain in detail how we use lattice data obtained at several values of the lattice spacing and for a range of quark masses in combined continuum-chiral fits in order to obtain results in the continuum limit and at physical quark masses. We implement this procedure for our data at two lattice spacings and with unitary pion masses in the approximate range 290-420 MeV (225-420 MeV for partially quenched pions). We use the masses of the {pi} and K mesons and the {Omega} baryon to determine the physical quark masses and the values of the lattice spacing. While our data in the mass ranges above are consistent with the predictions of next-to-leading order SU(2) chiral perturbation theory, they are also consistent with a simple analytic ansatz leading to an inherent uncertainty in how best to perform the chiral extrapolation that we are reluctant to reduce with model-dependent assumptions about higher order corrections. In some cases, particularly for f{sub {pi}}, the pion leptonic decay constant, the uncertainty in the chiral extrapolation dominates the systematic error. Our main results include f{sub {pi}} = 124(2){sub stat}(5){sub syst} MeV, f{sub K}/f{sub {pi}} = 1.204(7)(25) where f{sub K} is the kaon decay constant, m{sub s}{sup MS} (2 GeV) = (96.2 {+-} 2.7) MeV and m{sub ud}{sup MS} (2 GeV) = (3.59 {+-} 0.21) MeV (m{sub s}/m{sub ud} = 26.8 {+-} 1.4) where m{sub s} and m{sub ud} are the mass of the strange quark and the average of the up and down quark masses, respectively, [{Sigma}{sup MS} (2 GeV)]{sup 1/3} = 256(6) MeV, where {Sigma} is the chiral condensate, the Sommer scale r{sub 0} = 0.487(9) fm and r{sub 1} = 0.333(9) fm.},
doi = {10.1103/PhysRevD.83.074508},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 7,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}