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 $0.066\mathrm{fm}$ and $0.115\mathrm{fm}$ and pion mass between $207\mathrm{MeV}$ and $834\mathrm{MeV}$. We determine the lattice spacing and pion mass as a function of the bare coupling parameters ($\beta$ and $\kappa$). The results are obtained from twenty-two ensembles on a $24^3\times 48$ lattice to percent level in statistical accuracy. The finite-volume effects for these ensemble are at the sub-percent level. From these measurements we produce easy-to-use parameterizations 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 parameterization for the chiral extrapolation which is universal and should hold for all discretizations of $N_f=2$ QCD.

References in corpus (6)

• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• Scaling study of dynamical smeared-link clover fermions
• Finite volume effects for the pion mass at two loops
• Sea contributions to the electric polarizability of the hadrons
• Finite Volume at Two-loops in Chiral Perturbation Theory

Cited by in corpus (4)

• Three-body interactions from the finite-volume QCD spectrum
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Charged pion electric polarizability from four-point functions in lattice QCD
• Charged pion electric polarizability from lattice QCD