Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action

Niyazi, Hossein; Alexandru, Andrei; Lee, Frank X.; Brett, Ruairí

doi:10.1103/PhysRevD.102.094506

Title: Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action

Abstract

Lattice QCD calculations using gauge smearing for fermion kernels are computationally efficient. Hypercubic blocking (nHYP smearing) has been shown to reduce scaling errors. In this work we use an improved action for N_f= 2 QCD, based on the Lüscher-Weisz gauge action and clover-improved Wilson fermions with nHYP smeared gauge links. We perform a parameter scan in the region with lattice spacing between 0.066 fm and 0.115 fm and pion mass between 207 MeV and 834 MeV. We determine the lattice spacing and pion mass as a function of the bare coupling parameters (β and κ). The results are obtained from 22 ensembles on a 24³ × 48 lattice to the percent level in statistical accuracy. The finite-volume effects for these ensembles are at the subpercent level. From these measurements we produce easy-to-use parametrizations to help tune simulations with this action. The lattice spacing is fixed using a mass-independent procedure, by matching observables in the chiral limit. We also provide a parametrization for the chiral extrapolation which is universal and should hold for all discretizations of N_f = 2 QCD.

Authors:

; Alexandru, Andrei; Lee, Frank X.;

Publication Date:: 2020-11-09

Research Org.:: George Washington Univ., Washington, DC (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI Identifier:: 1708938

Alternate Identifier(s):: OSTI ID: 1850090

Grant/Contract Number:: FG02-95ER40907; JSA-20-C0031

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Lattice QCD; Strong interaction; Quantum chromodynamics; Lattice field theory; Quantum field theory

Citation Formats


                    Niyazi, Hossein, Alexandru, Andrei, Lee, Frank X., and Brett, Ruairí. Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.102.094506.

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                    Niyazi, Hossein, Alexandru, Andrei, Lee, Frank X., & Brett, Ruairí. Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action.  United States.  https://doi.org/10.1103/PhysRevD.102.094506

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                    Niyazi, Hossein, Alexandru, Andrei, Lee, Frank X., and Brett, Ruairí. Mon .  
"Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action".  United States.  https://doi.org/10.1103/PhysRevD.102.094506.

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@article{osti_1708938,

  title        = {Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action},

  author       = {Niyazi, Hossein and Alexandru, Andrei and Lee, Frank X. and Brett, Ruairí},

  abstractNote = {Lattice QCD calculations using gauge smearing for fermion kernels are computationally efficient. Hypercubic blocking (nHYP smearing) has been shown to reduce scaling errors. In this work we use an improved action for Nf = 2 QCD, based on the Lüscher-Weisz gauge action and clover-improved Wilson fermions with nHYP smeared gauge links. We perform a parameter scan in the region with lattice spacing between 0.066 fm and 0.115 fm and pion mass between 207 MeV and 834 MeV. We determine the lattice spacing and pion mass as a function of the bare coupling parameters (β and κ). The results are obtained from 22 ensembles on a 243 × 48 lattice to the percent level in statistical accuracy. The finite-volume effects for these ensembles are at the subpercent level. From these measurements we produce easy-to-use parametrizations to help tune simulations with this action. The lattice spacing is fixed using a mass-independent procedure, by matching observables in the chiral limit. We also provide a parametrization for the chiral extrapolation which is universal and should hold for all discretizations of Nf = 2 QCD.},

  doi          = {10.1103/PhysRevD.102.094506},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 102,

  place        = {United States},

  year         = {2020},

  month        = {11}

}

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Similar Records

Title: Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action

Abstract

Citation Formats

Hybrid Monte Carlo journal, September 1987

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

The pion mass in finite volume journal, March 2004

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

Resonance parameters of the rho-meson from asymmetrical lattices journal, January 2013

Light quarks at low temperatures journal, January 1987

Scaling study of dynamical smeared-link clover fermions journal, January 2009

On-shell improved lattice gauge theories journal, March 1985

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K π scattering and the K * decay width from lattice QCD journal, September 2013

Thermodynamics of chiral symmetry journal, April 1987

Sea quark contributions to the electric polarizability of hadrons journal, September 2014

Lattice QCD on small computers journal, November 1995

Extraction of isoscalar π π phase shifts from lattice QCD journal, July 2018

Hypercubic smeared links for dynamical fermions journal, May 2007

Setting the scale for the Lüscher-Weisz action journal, April 2002

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The strange quark mass and Lambda parameter of two flavor QCD journal, December 2012

Chiral perturbation theory for gradient flow observables journal, February 2014

Spontaneously broken symmetries: Effective lagrangians at finite volume journal, October 1988

A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory journal, January 1994

High-precision scale setting in lattice QCD journal, September 2012

Scaling test of quenched hypercubic smeared staggered fermions journal, March 2004

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Finite volume effects on the electric polarizability of neutral hadrons in lattice QCD journal, October 2016

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

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

Lattice QCD at the physical point: simulation and analysis details journal, August 2011

Finite volume at two-loops in chiral perturbation theory journal, January 2015

Finite volume effects for the pion mass at two loops journal, June 2006

Glueball masses and string tension in lattice QCD journal, June 1987

Hybrid Monte Carlo
journal, September 1987

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

The pion mass in finite volume
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Analytic smearing of $SU (3)$ link variables in lattice QCD
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Resonance parameters of the rho-meson from asymmetrical lattices
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Light quarks at low temperatures
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Scaling study of dynamical smeared-link clover fermions
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On-shell improved lattice gauge theories
journal, March 1985

Multi-mass solvers for lattice QCD on GPUs
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Finite size effects onMπ in QCD from chiral perturbation theory
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Speeding up the hybrid Monte Carlo algorithm for dynamical fermions
journal, October 2001

Finite volume effects for meson masses and decay constants
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Coupled channel analysis of the $ρ$ meson decay in lattice QCD
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Pion scattering in the isospin $I = 2$ channel from elongated lattices
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$K π$ scattering and the $K^{*}$ decay width from lattice QCD
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Thermodynamics of chiral symmetry
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Sea quark contributions to the electric polarizability of hadrons
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Lattice QCD on small computers
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Setting the scale for the Lüscher-Weisz action
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The strange quark mass and Lambda parameter of two flavor QCD
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