DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review. D.

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.

Research Organization:
George Washington Univ., Washington, DC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
FG02-95ER40907; JSA-20-C0031
OSTI ID:
1708938
Alternate ID(s):
OSTI ID: 1850090
Journal Information:
Physical Review. D., Vol. 102, Issue 9; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

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
On-shell improved lattice gauge theories journal March 1985
Multi-mass solvers for lattice QCD on GPUs journal February 2012
Finite size effects onMπ in QCD from chiral perturbation theory journal May 2003
Speeding up the hybrid Monte Carlo algorithm for dynamical fermions journal October 2001
Finite volume effects for meson masses and decay constants journal August 2005
Flavor symmetry and the static potential with hypercubic blocking journal July 2001
Coupled channel analysis of the ρ meson decay in lattice QCD journal September 2011
Pion scattering in the isospin I = 2 channel from elongated lattices journal August 2019
Quantum Chromodynamics on the Lattice book January 2010
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
Rho resonance parameters from lattice QCD journal August 2016
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
Axial resonances a 1(1260), b 1(1235) and their decays from the lattice journal April 2014
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
Quantum Chromodynamics on the Lattice book January 2010
Finite volume effects for the pion mass at two loops journal June 2006
The strange quark mass and Lambda parameter of two flavor QCD journal December 2012
Setting the scale for the Lüscher-Weisz action journal April 2002
Non-perturbative improvement of nHYP smeared Wilson fermions
  • Hoffmann, Roland; Hasenfratz, Anna; Schaefer, Stefan
  • Proceedings of The XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007) https://doi.org/10.22323/1.042.0104
conference March 2008
Coupled channel analysis of the rho meson decay in lattice QCD text January 2011
Finite Volume at Two-loops in Chiral Perturbation Theory text January 2014
Flavor Symmetry and the Static Potential with Hypercubic Blocking text January 2001
Lattice QCD on Small Computers text January 1995