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

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

doi:10.1103/PhysRevD.96.054513

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 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. 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 L₅ and a domain-wall height M₅ ≤ 1.3. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolationmore »« less

Authors:

Berkowitz, Evan ^[1]; Bouchard, Chris ^[2]; Chang, Chia Cheng ^[3]; Clark, M. A. ^[4]; Joo, Balint ^[5]; Kurth, Thorsten ^[3]; Monahan, Christopher ^[6]; Nicholson, Amy ^[7]; Orginos, Kostas ^[8]; Rinaldi, Enrico ^[9]; Vranas, Pavlos ^[10]; Walker-Loud, Andre ^[11]

Forschungszentrum Julich, Julich (Germany); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Glasgow, Glasgow (United Kingdom); College of William and Mary, Williamsburg, VA (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
NVIDIA Corp., Santa Clara, CA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
The State Univ. of New Jersey, Piscataway, NJ (United States)
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); NVIDIA Corp., Santa Clara, CA (United States)
NVIDIA Corp., Santa Clara, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2017-09-25

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

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:: 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.

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                    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.  https://doi.org/10.1103/PhysRevD.96.054513

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                    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.  https://doi.org/10.1103/PhysRevD.96.054513.  https://www.osti.gov/servlets/purl/1395852.

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@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 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 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 mπ≃{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 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, mres≲0.1×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.},

  doi          = {10.1103/PhysRevD.96.054513},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {9}

}

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Works referencing / citing this record:

A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics
journal, May 2018

Chang, C. C.; Nicholson, A. N.; Rinaldi, E.
Nature, Vol. 558, Issue 7708
DOI: 10.1038/s41586-018-0161-8

A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
text, January 2018

Chang, Chia Cheng; Nicholson, Amy; Rinaldi, Enrico
arXiv
DOI: 10.48550/arxiv.1805.12130

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

Abstract

Citation Formats

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Chiral anomalies and rooted staggered fermions journal, May 2007

Baryon decuplet to octet electromagnetic transitions in quenched and partially quenched chiral perturbation theory journal, January 2004

Isovector and isoscalar tensor charges of the nucleon from lattice QCD journal, November 2015

Erratum: B → D l ν form factors at nonzero recoil and extraction of | V c b | [Phys. Rev. D 92 , 054510 (2015)] journal, June 2016

Many Masses on one Stroke: Economic Computation of Quark Propagators journal, October 1995

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Solving lattice QCD systems of equations using mixed precision solvers on GPUs journal, September 2010

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Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD journal, September 2016

Simulations with different lattice Dirac operators for valence and sea quarks journal, June 2003

Finite volume effects for meson masses and decay constants journal, August 2005

Flavor symmetry and the static potential with hypercubic blocking journal, July 2001

Locally smeared operator product expansions in scalar field theory journal, April 2015

Extrapolation formulas for neutron EDM calculations in lattice QCD journal, February 2006

π N and strangeness sigma terms at the physical point with chiral fermions journal, September 2016

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B s → K ℓ ν form factors from lattice QCD journal, September 2014

Erratum: Sigma term and strangeness content of octet baryons [Phys. Rev. D 85 , 014509 (2012)] journal, February 2016

Algorithms for Lattice QCD with Dynamical Fermions journal, March 2005

Electromagnetic properties of the baryon decuplet in quenched and partially quenched chiral perturbation theory journal, December 2003

Spontaneous flavor and parity breaking with Wilson fermions journal, August 1998

Chiral Perturbation Theory journal, December 1973

Exactly massless quarks on the lattice journal, January 1998

Variants of fattening and flavor symmetry restoration journal, July 1999

A remnant of chiral symmetry on the lattice journal, May 1982

B → D l ν form factors at nonzero recoil and extraction of | V c b | journal, September 2015

QCD spectrum with three quark flavors journal, August 2001

Hadronic physics with domain-wall valence and improved staggered sea quarks journal, March 2005

Infinite N phase transitions in continuum Wilson loop operators journal, March 2006

Absence of neutrinos on a lattice journal, December 1981

Chiral symmetry and the Yang-Mills gradient flow journal, April 2013

Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks journal, May 2010

2 + 1 flavor domain wall QCD on a ( 2 fm ) 3 lattice: Light meson spectroscopy with L s = 16 journal, July 2007

Continuum limit and improved action in lattice theories journal, September 1983

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

Lattice QCD with a chirally twisted mass term journal, August 2001

Analytic smearing of SU ( 3 ) link variables in lattice QCD journal, March 2004

Locality of the fourth root of the staggered-fermion determinant: Renormalization-group approach journal, February 2005

Lattice QCD ensembles with four flavors of highly improved staggered quarks journal, March 2013

On the foundations of partially quenched chiral perturbation theory journal, July 2013

Absence of neutrinos on a lattice journal, July 1981

Baryon masses in partially quenched heavy hadron chiral perturbation theory journal, February 2005

Domain wall fermions with improved gauge actions journal, April 2004

Partially quenched gauge theories and an application to staggered fermions journal, January 1994

Staggered chiral perturbation theory and the fourth-root trick journal, June 2006

Confinement of quarks journal, October 1974

’t Hooft vertices, partial quenching, and rooted staggered QCD journal, June 2008

Quenched lattice QCD with domain wall fermions and the chiral limit journal, April 2004

Perturbative analysis of the gradient flow in non-abelian gauge theories journal, February 2011

Discretization effects and the scalar meson correlator in mixed-action lattice simulations journal, June 2008

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230] journal, May 2007

Physical results from unphysical simulations journal, October 2000

A construction of lattice chiral gauge theories journal, June 1995

Mixed meson masses with domain-wall valence and staggered sea fermions journal, May 2008

Lattice fermions journal, November 1977

Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation journal, June 1998

Quasi parton distributions and the gradient flow journal, March 2017

Erratum: Electromagnetic properties of the baryon decuplet in quenched and partially quenched chiral perturbation theory [Phys. Rev. D 68 , 114503 (2003)] journal, March 2004

Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks journal, September 2005

Observations on staggered fermions at nonzero lattice spacing journal, June 2006

Decuplet baryon masses in partially quenched chiral perturbation theory journal, February 2005

Universal formula for the flavor non-singlet axial-vector current from the gradient flow journal, May 2015

Nucleon generalized parton distributions from full lattice QCD journal, May 2008

Chiral symmetry restoration in the Schwinger model with domain wall fermions journal, February 1998

Strange Quark Magnetic Moment of the Nucleon at the Physical Point journal, January 2017

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

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Δ mix parameter in the overlap on domain-wall mixed action journal, July 2012

On the Foundations of Chiral Perturbation Theory journal, October 1994

Axial symmetries in lattice QCD with Kaplan fermions journal, April 1995

Kaon B parameter in quenched QCD
journal, January 2004

Chiral anomalies and rooted staggered fermions
journal, May 2007

Baryon decuplet to octet electromagnetic transitions in quenched and partially quenched chiral perturbation theory
journal, January 2004

Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015

Erratum: $B \to D l ν$ form factors at nonzero recoil and extraction of $| V_{c b} |$ [Phys. Rev. D 92 , 054510 (2015)]
journal, June 2016

Many Masses on one Stroke: Economic Computation of Quark Propagators
journal, October 1995

Gradient flow and scale setting on MILC HISQ ensembles
journal, May 2016

Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010

Nucleon charges and electromagnetic form factors from $2 + 1 + 1$ -flavor lattice QCD
journal, May 2014

Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD
journal, September 2016

Simulations with different lattice Dirac operators for valence and sea quarks
journal, June 2003

Finite volume effects for meson masses and decay constants
journal, August 2005

Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001

Locally smeared operator product expansions in scalar field theory
journal, April 2015

Extrapolation formulas for neutron EDM calculations in lattice QCD
journal, February 2006

$π N$ and strangeness sigma terms at the physical point with chiral fermions
journal, September 2016

Chiral determinant as an overlap of two vacua
journal, January 1994

$B_{s} \to K ℓ ν$ form factors from lattice QCD
journal, September 2014

Erratum: Sigma term and strangeness content of octet baryons [Phys. Rev. D 85 , 014509 (2012)]
journal, February 2016

Algorithms for Lattice QCD with Dynamical Fermions
journal, March 2005

Electromagnetic properties of the baryon decuplet in quenched and partially quenched chiral perturbation theory
journal, December 2003

Spontaneous flavor and parity breaking with Wilson fermions
journal, August 1998

Chiral Perturbation Theory
journal, December 1973

Exactly massless quarks on the lattice
journal, January 1998

Variants of fattening and flavor symmetry restoration
journal, July 1999

A remnant of chiral symmetry on the lattice
journal, May 1982

$B \to D l ν$ form factors at nonzero recoil and extraction of $| V_{c b} |$
journal, September 2015

QCD spectrum with three quark flavors
journal, August 2001

Hadronic physics with domain-wall valence and improved staggered sea quarks
journal, March 2005

Infinite N phase transitions in continuum Wilson loop operators
journal, March 2006

Absence of neutrinos on a lattice
journal, December 1981

Chiral symmetry and the Yang-Mills gradient flow
journal, April 2013

Nonperturbative QCD simulations with $2 + 1$ flavors of improved staggered quarks
journal, May 2010

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Continuum limit and improved action in lattice theories
journal, September 1983

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Lattice QCD with a chirally twisted mass term
journal, August 2001

Analytic smearing of $SU (3)$ link variables in lattice QCD
journal, March 2004

Locality of the fourth root of the staggered-fermion determinant: Renormalization-group approach
journal, February 2005

Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013

On the foundations of partially quenched chiral perturbation theory
journal, July 2013

Absence of neutrinos on a lattice
journal, July 1981

Baryon masses in partially quenched heavy hadron chiral perturbation theory
journal, February 2005

Domain wall fermions with improved gauge actions
journal, April 2004

Partially quenched gauge theories and an application to staggered fermions
journal, January 1994

Staggered chiral perturbation theory and the fourth-root trick
journal, June 2006

Confinement of quarks
journal, October 1974

’t Hooft vertices, partial quenching, and rooted staggered QCD
journal, June 2008

Quenched lattice QCD with domain wall fermions and the chiral limit
journal, April 2004

Perturbative analysis of the gradient flow in non-abelian gauge theories
journal, February 2011

Discretization effects and the scalar meson correlator in mixed-action lattice simulations
journal, June 2008

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230]
journal, May 2007

Physical results from unphysical simulations
journal, October 2000

A construction of lattice chiral gauge theories
journal, June 1995

Mixed meson masses with domain-wall valence and staggered sea fermions
journal, May 2008

Lattice fermions
journal, November 1977

Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
journal, June 1998

Quasi parton distributions and the gradient flow
journal, March 2017

Erratum: Electromagnetic properties of the baryon decuplet in quenched and partially quenched chiral perturbation theory [Phys. Rev. D 68 , 114503 (2003)]
journal, March 2004

Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks
journal, September 2005

Observations on staggered fermions at nonzero lattice spacing
journal, June 2006

Decuplet baryon masses in partially quenched chiral perturbation theory
journal, February 2005

Universal formula for the flavor non-singlet axial-vector current from the gradient flow
journal, May 2015

Nucleon generalized parton distributions from full lattice QCD
journal, May 2008

Chiral symmetry restoration in the Schwinger model with domain wall fermions
journal, February 1998

Strange Quark Magnetic Moment of the Nucleon at the Physical Point
journal, January 2017

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

Ginsparg-Wilson pions scattering in a sea of staggered quarks
journal, April 2006

Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED
journal, December 2013

Lattice calculation of heavy-light decay constants with two flavors of dynamical quarks
journal, November 2002

The Chroma Software System for Lattice QCD
journal, March 2005

Order of the chiral and continuum limits in staggered chiral perturbation theory
journal, May 2005

Continuum limit and improved action in lattice theories
journal, September 1983

Erratum: Baryons with Ginsparg-Wilson quarks in a staggered sea [Phys. Rev. D 72 , 094501 (2005)]
journal, February 2009

$Δ_{mix}$ parameter in the overlap on domain-wall mixed action
journal, July 2012

On the Foundations of Chiral Perturbation Theory
journal, October 1994

Axial symmetries in lattice QCD with Kaplan fermions
journal, April 1995

Clebsch-Gordan construction of lattice interpolated fields for excited baryons
journal, October 2005

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
journal, March 2009

Effective field theories for QCD with rooted staggered fermions
journal, April 2008