Gradient Flow and Scale Setting on MILC HISQ Ensembles
Abstract
We report on a 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 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,√t0;imp and w0;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 w0 that 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 thatmore »
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- MILC Collaboration
- OSTI Identifier:
- 1223212
- Alternate Identifier(s):
- OSTI ID: 1254380
- Report Number(s):
- FERMILAB-PUB-15-284-T
Journal ID: ISSN 2470-0010; PRVDAQ; arXiv eprint number arXiv:1503.02769; TRN: US1601622
- Grant/Contract Number:
- AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; FG02-91ER40661; SC0010120; FG02-13ER-41976; AC02-98CH10886
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
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., and Van de Water, R. S. Gradient Flow and Scale Setting on MILC HISQ Ensembles. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.094510.
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. Gradient Flow and Scale Setting on MILC HISQ Ensembles. United States. https://doi.org/10.1103/PhysRevD.93.094510
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., and Van de Water, R. S. Wed .
"Gradient Flow and Scale Setting on MILC HISQ Ensembles". United States. https://doi.org/10.1103/PhysRevD.93.094510. https://www.osti.gov/servlets/purl/1223212.
@article{osti_1223212,
title = {Gradient Flow and Scale Setting on MILC HISQ Ensembles},
author = {Bazavov, A. and Bernard, C. and Brown, N. and Komijani, J. and DeTar, C. and Foley, J. and Levkova, L. and Gottlieb, Steven and Heller, U. M. and Laiho, J. and Sugar, R. L. and Toussaint, D. and Van de Water, R. S.},
abstractNote = {We report on a 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 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,√t0;imp and w0;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 w0 that 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.},
doi = {10.1103/PhysRevD.93.094510},
journal = {Physical Review D},
number = 9,
volume = 93,
place = {United States},
year = {Wed May 25 00:00:00 EDT 2016},
month = {Wed May 25 00:00:00 EDT 2016}
}
Web of Science
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