Improved lattice fermion action for heavy quarks

Abstract

We develop an improved lattice action for heavy quarks based on Brillouin-type fermions, that have excellent energy-momentum dispersion relation. The leading discretization errors of $O(a)$ and $O(a^2)$ are eliminated at tree-level. We carry out a scaling study of this improved Brillouin fermion action on quenched lattices by calculating the charmonium energy-momentum dispersion relation and hyperfine splitting. We present a comparison to standard Wilson fermions and domain-wall fermions.

arXiv comment33 pages, 23 figures, minor changes are made, a version published in JHEP

References in corpus (9)

• Exactly massless quarks on the lattice
• More about exactly massless quarks on the lattice
• High-precision scale setting in lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Approximate Ginsparg-Wilson fermions: A first test
• Improving Lattice Quark Actions
• The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
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Cited by in corpus (15)

• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Approaches to inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD
• An exploratory study of heavy domain wall fermions on the lattice
• Varieties and properties of central-branch Wilson fermions
• Scale setting for $N_f=3+1$ QCD
• Lattice fermions as spectral graphs
• Charmonium and exotics from lattice QCD
• Equivalence of lattice operators and graph matrices
• New conjecture on exact Dirac zero-modes of lattice fermions
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Minimal-doubling and single-Weyl Hamiltonians
• Application of Laplace filters to the analysis of lattice time correlators
• Dispersion relation and unphysical poles of Möbius domain-wall fermions in free field theory at finite $L_s$
• Heavy Domain Wall Fermions: The RBC and UKQCD charm physics program
• Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions