Symanzik flow on HISQ ensembles

The MILC Collaboration; A. Bazavov; C. Bernard; N. Brown; C. DeTar; J. Foley; Steven Gottlieb; U. M. Heller; J. E. Hetrick; J. Laiho; L. Levkova; M. Oktay; R. L. Sugar; D. Toussaint; R. S. Van de Water; R. Zhou

arXiv · 1311.1474

Symanzik flow on HISQ ensembles

The MILC Collaboration·A. Bazavov·C. Bernard·N. Brown·C. DeTar·J. Foley·Steven Gottlieb·U. M. Heller·J. E. Hetrick·J. Laiho·L. Levkova·M. Oktay·R. L. Sugar·D. Toussaint·R. S. Van de Water·R. Zhou

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Abstract

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 lattice scale $w_0/a$, originally proposed by the BMW collaboration, is computed using Symanzik flow at four lattice spacings ranging from 0.15 to 0.06 fm. With a Taylor series ansatz, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. We give a preliminary determination of the scale $w_0$ in physical units, along with associated systematic errors, and compare with results from other groups. We also present a first estimate of autocorrelation lengths as a function of flowtime for these ensembles.

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The MILC Collaboration, A. Bazavov, C. Bernard, N. Brown, C. DeTar, J. Foley, Steven Gottlieb, U. M. Heller, J. E. Hetrick, J. Laiho, L. Levkova, M. Oktay, R. L. Sugar, D. Toussaint, R. S. Van de Water, R. Zhou. 2013-11-06. Symanzik flow on HISQ ensembles. https://arxiv.org/abs/1311.1474

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