We report on a scale determination with gradient-flow techniques on the Nf=2+1+1 HISQ ensembles generated by the MILC collaboration. The lattice scale w0/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 w0 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.
Cite
@article{arxiv.1311.1474,
title = {Symanzik flow on HISQ ensembles},
author = {The MILC Collaboration and A. Bazavov and C. Bernard and N. Brown and C. DeTar and J. Foley and Steven Gottlieb and U. M. Heller and J. E. Hetrick and J. Laiho and L. Levkova and M. Oktay and R. L. Sugar and D. Toussaint and R. S. Van de Water and R. Zhou},
journal= {arXiv preprint arXiv:1311.1474},
year = {2014}
}
Comments
7 pages, 6 pdf figures, 2 tables, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany