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  • Letter
  • Open Access

Distance between various discretized fermion actions

Dian-Jun Zhao1,2, Gen Wang3,4, Fangcheng He2, Luchang Jin5,6, Peng Sun7, Yi-Bo Yang1,2,8,9, and Kuan Zhang1,2 (χQCD Collaboration)

  • 1University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China
  • 2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
  • 4Aix-Marseille Universit, Universit de Toulon, CNRS, CPT, UMR 7332 Marseille, France
  • 5Physics Department, University of Connecticut, Storrs, Connecticut 06269, USA
  • 6RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 7Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 8School of Fundamental Physics and Mathematical Sciences, UCAS, Hangzhou 310024, China
  • 9International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China

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Phys. Rev. D 107, L091501 – Published 1 May, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L091501

Abstract

We present the leading-order mixed-action effect Δmix≡mπ,vs2−mπ,vv2+mπ,ss22 using highly improved staggered quarks (HISQ), clover, or overlap valence fermion actions on gauge ensembles using various sea fermion actions across a widely used lattice spacing range a∈[0.04,0.19]  fm. The results suggest that Δmix decreases as the fourth order of the lattice spacing on the gauge ensembles with dynamical chiral sea fermions, such as domain wall or HISQ fermions. When a clover sea fermion action that has explicit chiral symmetry breaking is used in the ensemble, Δmix can be much larger regardless of the valence fermion action used.

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Phys. Rev. D 107, L091501– Published 1 May, 2023
  • Received 3 August 2022
  • Accepted 3 April 2023
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