Brillouin improvement for Wilson fermions

Abstract

We present a parameter-free Wilson-type lattice Dirac operator with an 81-point stencil for the covariant derivative and the Laplacian which attempts to minimize the breaking of rotational symmetry near the boundary of the Brillouin zone. The usefulness of this "Brillouin operator" in practical applications is explored by studying the scaling of pseudoscalar decay constants in quenched QCD, with rather good results in the physical charm region. We also investigate the suitability of this operator as a kernel to the overlap procedure. Here, the resulting overlap operator is found to be cheaper to construct and significantly better localized than the variety with the standard Wilson kernel.

42 pages, 22 figures; v2: improved presentation, 5 new references

References in corpus (9)

• Lattice QCD as a video game
• Rationale for UV-filtered clover fermions
• Scaling study of dynamical smeared-link clover fermions
• Over-Improved Stout-Link Smearing
• Single flavor staggered fermions
• Pairs of chiral quarks on the lattice from staggered fermions
• Improvement via hypercubic smearing in triplet and sextet QCD
• Lattice cut-off effects and their reduction in studies of QCD thermodynamics at non-zero temperature and chemical potential
• Logarithmic link smearing for full QCD

Cited by in corpus (22)

• Light Hadron Masses from Lattice QCD
• Meson and Baryon dispersion relations with Brillouin fermions
• Taste-split staggered actions: eigenvalues, chiralities and Symanzik improvement
• Numerical properties of staggered quarks with a taste-dependent mass term
• Varieties and properties of central-branch Wilson fermions
• The ratio m_c/m_s with Wilson fermions
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Lattice fermions as spectral graphs
• On the suitability of the Brillouin action as a kernel to the overlap procedure
• $O(a^2)$-improved actions for heavy quarks and scaling studies on quenched lattices
• New conjecture on exact Dirac zero-modes of lattice fermions
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• Equivalence of lattice operators and graph matrices
• New fermion discretizations and their applications
• $m_c/m_s$ with Brillouin fermions
• Quark Flavor Physics Review
• Minimal-doubling and single-Weyl Hamiltonians
• First numerical experiences with overlap fermions based on the Brillouin kernel
• Calculation of $c_{\mathrm{SW}}$ at one-loop order for Brillouin fermions
• Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
• Topological properties of minimally doubled fermions in two space-time dimensions
• Three Dirac operators on two architectures with one piece of code and no hassle