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    Gradient flow and scale setting on MILC HISQ ensembles

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    PhysRevD.93.094510.pdf
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    Author
    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.
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    Affiliation
    Univ Arizona, Dept Phys
    Issue Date
    2016-05-25
    
    Metadata
    Show full item record
    Publisher
    AMER PHYSICAL SOC
    Citation
    Gradient flow and scale setting on MILC HISQ ensembles 2016, 93 (9) Physical Review D
    Journal
    Physical Review D
    Rights
    © 2016 American Physical Society.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    We report on a scale determination with gradient-flow techniques on the N-f = 2 + 1 + 1 highly improved staggered quark 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 root t(0)/a and their tree-level improvements, root t(0,imp) and root w(0,imp), are computed on each ensemble using Symanzik flow and the cloverleaf definition of the energy density E. Using a combination of continuum chiral-perturbation theory and a Taylor-series ansatz for the latticespacing and strong-coupling dependence, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. We determine the scales root t(0) = 0.171416((18)(-5)) fm, and w(0) =.174 ((-15)(-12)), where the errors are sums, in quadrature, of statistical and all systematic errors. The precision of w(0) and root t(0) is comparable to or more precise than the best previous estimates, respectively. We then find the continuum mass dependence of root t(0) and w(0), which will be useful for estimating the scales of new ensembles. We also estimate the integrated autocorrelation length of < E(t)>. For long flow times, the autocorrelation length of < E > appears to be comparable to that of the topological charge.
    ISSN
    2470-0010
    2470-0029
    DOI
    10.1103/PhysRevD.93.094510
    Version
    Final published version
    Sponsors
    Office of Science of the U.S. Department of Energy; National Science Foundation's Teragrid/XSEDE Program; NSF [OCI-0725070, ACI-1238993]; State of Illinois; National Science Foundation [OCI-0832315, PHY-1067881, PHY-10034278, PHYS-1417805, PHY-1316748]; U.S. Department of Energy [DE-FG02-91ER40628, DE-FC02-12ER41879, DE-FG02-91ER40661, DE-SC0010120, DE-FG02-13ER-41976, DE-AC02-98CH10886, DE-AC02-07CH11359]
    Additional Links
    http://link.aps.org/doi/10.1103/PhysRevD.93.094510
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevD.93.094510
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