Gradient Flow and Scale Setting on MILC HISQ Ensembles

Bazavov, A.; Bernard, C.; Brown, N.; Komijani, J.; DeTar, C.; Foley, J.; Levkova, L.; Gottlieb, Steven; Heller, U. M.; Laiho, J.; Sugar, R. L.; Toussaint, D.; Van de Water, R. S.

doi:10.1103/PhysRevD.93.094510

Title: Gradient Flow and Scale Setting on MILC HISQ Ensembles

Journal Article · Wed May 25 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.094510· OSTI ID:1223212

Bazavov, A. ^[1]; Bernard, C. ^[2]; Brown, N. ^[2]; Komijani, J. ^[2]; DeTar, C. ^[3]; Foley, J. ^[3]; Levkova, L. ^[3]; Gottlieb, Steven ^[4]; Heller, U. M. ^[5]; Laiho, J. ^[6]; Sugar, R. L. ^[7]; Toussaint, D. ^[8]; Van de Water, R. S. ^[9]

Brookhaven National Lab. (BNL), Upton, NY (United States)
Washington Univ., St. Louis, MO (United States)
Univ. of Utah, Salt Lake City, UT (United States)
Indiana Univ., Bloomington, IN (United States)
American Physical Society (APS), Ridge, NY (United States)
Syracuse Univ., NY (United States)
Univ. of California, Santa Barbara, CA (United States)
Univ. of Arizona, Tucson, AZ (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

We report on a 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 approximately 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales p √t₀/a and w₀/a and their tree-level improvements,√t_0;imp and w_0;imp, are computed on each ensemble using Symanzik ow and the cloverleaf definition of the energy density E. Using a combination of continuum chiral perturbation theory and a Taylor-series ansatz for the lattice-spacing and strong-coupling dependence, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. We also determine the scales p t₀ = 0:1416(⁺⁸_-5) fm and w₀ = 0:1717(⁺¹²_-11) fm, where the errors are sums, in quadrature, of statistical and all systematic errors. The precision of w₀ and √t₀ is comparable to or more precise than the best previous estimates, respectively. We also find the continuum mass-dependence of w₀that will be useful for estimating the scales of other ensembles. Furthermore, we estimate the integrated autocorrelation length of . For long flow times, the autocorrelation length of appears to be comparable to or smaller than that of the topological charge.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: MILC Collaboration

Grant/Contract Number:: AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; FG02-91ER40661; SC0010120; FG02-13ER-41976; AC02-98CH10886

OSTI ID:: 1223212

Alternate ID(s):: OSTI ID: 1254380

Report Number(s):: FERMILAB-PUB-15-284-T; PRVDAQ; arXiv eprint number arXiv:1503.02769; TRN: US1601622

Journal Information:: Physical Review D, Vol. 93, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 38 works

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