Gradient flow analysis on MILC HISQ ensembles

MILC Collaboration

Gradient flow analysis on MILC HISQ ensembles

MILC Collaboration

Department of Physics

Research output: Contribution to journal › Conference Article › peer-review

1 Scopus citations

Abstract

We report on a preliminary scale determination with gradient-flow techniques on the N_f = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t₀/a and w₀/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aM_π and aM_K are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t₀ = 0.1422(7) fm and w₀ = 0.1732(10) fm. We also find the continuum mass-dependence of w₀.

Original language	English (US)
Article number	090
Journal	Proceedings of Science
Volume	Part F130500
State	Published - 2014
Event	32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: Jun 23 2014 → Jun 28 2014

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@article{77ab3783cbad48378d0724df3416ed22,

title = "Gradient flow analysis on MILC HISQ ensembles",

abstract = "We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.",

author = "{MILC Collaboration} and A. Bazavov and C. Bernard and N. Brown and C. Detar and J. Foley and Steven Gottlieb and Heller, {U. M.} and Hetrick, {J. E.} and J. Komijani and J. Laiho and L. Levkova and M. Oktay and Sugar, {R. L.} and D. Toussaint and {Van De Water}, {R. S.} and R. Zhou",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 32nd International Symposium on Lattice Field Theory, LATTICE 2014 ; Conference date: 23-06-2014 Through 28-06-2014",

year = "2014",

language = "English (US)",

volume = "Part F130500",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Gradient flow analysis on MILC HISQ ensembles

AU - MILC Collaboration

AU - Bazavov, A.

AU - Bernard, C.

AU - Brown, N.

AU - Detar, C.

AU - Foley, J.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Komijani, J.

AU - Laiho, J.

AU - Levkova, L.

AU - Oktay, M.

AU - Sugar, R. L.

AU - Toussaint, D.

AU - Van De Water, R. S.

AU - Zhou, R.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2014

Y1 - 2014

N2 - We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.

AB - We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.

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M3 - Conference Article

AN - SCOPUS:84971620018

SN - 1824-8039

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 090

T2 - 32nd International Symposium on Lattice Field Theory, LATTICE 2014

Y2 - 23 June 2014 through 28 June 2014

ER -

Gradient flow analysis on MILC HISQ ensembles

Abstract

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