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Title: Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles

Abstract

Here, we report on salient features of a mixed lattice QCD action using valence M\"{o}bius domain-wall fermions solved on the dynamical $$N_f=2+1+1$$ HISQ ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the HISQ configurations. The greater numerical cost of the M\"{o}bius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in Chroma. We provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings $$a \simeq \{0.15, 0.12, 0.09\}$$ fm and pion masses $$m_\pi \simeq \{310, 220,130\}$$ MeV. We have additionally generated two new ensembles with $$a\sim0.12$$ fm and $$m_\pi\sim\{400, 350\}$$ MeV. With a fixed flow-time of $$t_{gf}=1$$ in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10\% of the light quark mass on all ensembles, $$m_{res} \lesssim 0.1\times m_l$$, with moderate values of the fifth dimension $$L_5$$ and a domain-wall height $$M_5 \leq 1.3$$. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of $$F_{K^\pm}/F_{\pi^\pm}$$ and demonstrate our results are independent of flow-time, and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.

Authors:
 [1];  [2];  [3];  [4];  [5];  [3];  [6];  [7];  [8];  [9];  [10];  [11]
  1. Forschungszentrum Julich, Julich (Germany); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of Glasgow, Glasgow (United Kingdom); College of William and Mary, Williamsburg, VA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. NVIDIA Corp., Santa Clara, CA (United States)
  5. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  6. The State Univ. of New Jersey, Piscataway, NJ (United States)
  7. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  8. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  9. Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  10. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); NVIDIA Corp., Santa Clara, CA (United States)
  11. NVIDIA Corp., Santa Clara, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1395852
Alternate Identifier(s):
OSTI ID: 1394687; OSTI ID: 1413172; OSTI ID: 1425164; OSTI ID: 1425425
Report Number(s):
JLAB-THY-17-2503; DOE/OR/23177-4168; arXiv:1701.07559; LLNL-JRNL-719521; RBRC-1227; BNL-114865-2017-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
PHY-1125915; AC05-00OR22725; AC52-07NA27344; AC05-06OR23177; AC02-05CH11231; FG02-04ER41302; SC00046548; SC0015376; KB0301052; SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; 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; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Berkowitz, Evan, Bouchard, Chris, Chang, Chia Cheng, Clark, M. A., Joo, Balint, Kurth, Thorsten, Monahan, Christopher, Nicholson, Amy, Orginos, Kostas, Rinaldi, Enrico, Vranas, Pavlos, and Walker-Loud, Andre. Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.054513.
Berkowitz, Evan, Bouchard, Chris, Chang, Chia Cheng, Clark, M. A., Joo, Balint, Kurth, Thorsten, Monahan, Christopher, Nicholson, Amy, Orginos, Kostas, Rinaldi, Enrico, Vranas, Pavlos, & Walker-Loud, Andre. Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles. United States. doi:10.1103/PhysRevD.96.054513.
Berkowitz, Evan, Bouchard, Chris, Chang, Chia Cheng, Clark, M. A., Joo, Balint, Kurth, Thorsten, Monahan, Christopher, Nicholson, Amy, Orginos, Kostas, Rinaldi, Enrico, Vranas, Pavlos, and Walker-Loud, Andre. Mon . "Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles". United States. doi:10.1103/PhysRevD.96.054513.
@article{osti_1395852,
title = {Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles},
author = {Berkowitz, Evan and Bouchard, Chris and Chang, Chia Cheng and Clark, M. A. and Joo, Balint and Kurth, Thorsten and Monahan, Christopher and Nicholson, Amy and Orginos, Kostas and Rinaldi, Enrico and Vranas, Pavlos and Walker-Loud, Andre},
abstractNote = {Here, we report on salient features of a mixed lattice QCD action using valence M\"{o}bius domain-wall fermions solved on the dynamical $N_f=2+1+1$ HISQ ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the HISQ configurations. The greater numerical cost of the M\"{o}bius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in Chroma. We provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings $a \simeq \{0.15, 0.12, 0.09\}$ fm and pion masses $m_\pi \simeq \{310, 220,130\}$ MeV. We have additionally generated two new ensembles with $a\sim0.12$ fm and $m_\pi\sim\{400, 350\}$ MeV. With a fixed flow-time of $t_{gf}=1$ in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10\% of the light quark mass on all ensembles, $m_{res} \lesssim 0.1\times m_l$, with moderate values of the fifth dimension $L_5$ and a domain-wall height $M_5 \leq 1.3$. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of $F_{K^\pm}/F_{\pi^\pm}$ and demonstrate our results are independent of flow-time, and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.},
doi = {10.1103/PhysRevD.96.054513},
journal = {Physical Review D},
number = 5,
volume = 96,
place = {United States},
year = {Mon Sep 25 00:00:00 EDT 2017},
month = {Mon Sep 25 00:00:00 EDT 2017}
}

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  • Here, we report on salient features of a mixed lattice QCD action using valence Möbius domain-wall fermions solved on the dynamical N f = 2+1+1 highly improved staggered quark sea-quark ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the highly improved staggered quark configurations. The greater numerical cost of the Möbius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver inmore » Chroma. We provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings a≃{0.15,0.12,0.09} fm and pion masses m π≃{310,220,130} MeV. We have additionally generated two new ensembles with a~0.12 fm and m π~{400,350} MeV. With a fixed flow time of t gf=1 in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10% of the light quark mass on all ensembles, m res≲0.1×ml, with moderate values of the fifth dimension L 5 and a domain-wall height M 5 ≤ 1.3. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of F /F π± and demonstrate our results are independent of flow time and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.« less
  • Here, we report on salient features of a mixed lattice QCD action using valence Möbius domain-wall fermions solved on the dynamical N f=2+1+1 highly improved staggered quark sea-quark ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the highly improved staggered quark configurations. The greater numerical cost of the Möbius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in Chroma. Wemore » provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings a≃{0.15,0.12,0.09} fm and pion masses m π≃{310,220,130} MeV. We have additionally generated two new ensembles with a~0.12 fm and mπ~{400,350} MeV. With a fixed flow time of t gf=1 in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10% of the light quark mass on all ensembles, m res≲0.1×ml, with moderate values of the fifth dimension L 5 and a domain-wall height M 5≤1.3. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of F K±/F π± and demonstrate our results are independent of flow time and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.« less
  • We report on salient features of a mixed lattice QCD action using valence Möbius domain-wall fermions solved on the dynamical Nf=2+1+1 highly improved staggered quark sea-quark ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the highly improved staggered quark configurations. The greater numerical cost of the Möbius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in Chroma. We provide tunedmore » parameters of the action and performance of QUDA using ensembles with the lattice spacings a≃{0.15,0.12,0.09} fm and pion masses mπ≃{310,220,130} MeV. We have addi tionally generated two new ensembles with a~0.12 fm and mπ~{400,350} MeV. With a fixed flow time of tgf=1 in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10% of the light quark mass on all ensembles, mres0.1×ml, with moderate values of the fifth dimension L5 and a domain-wall height M5≤1.3. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of FK±/Fπ± and demonstrate our results are independent of flow time and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.« less
  • 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 √t 0/a and w 0/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,more » the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. We also determine the scales p t 0 = 0:1416( +8 -5) fm and w 0 = 0:1717( +12 -11) fm, where the errors are sums, in quadrature, of statistical and all systematic errors. The precision of w 0 and √t 0 is comparable to or more precise than the best previous estimates, respectively. We also find the continuum mass-dependence of w 0 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.« less