Optimising creation operators for charmonium spectroscopy on the lattice

Abstract

Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which defines smearing for quark fields as a low-rank linear projection operator into a small vector space of smooth gauge-covariant fields has proven to be both effective and versatile in hadron spectroscopy calculations albeit with significant computational cost . In this paper, more general operators in this space of smooth fields are introduced and optimised, which enhances the performance of the method when tested on systems of heavy quark-anti-quark pairs close to the charmonium energy scale.

19 pages, 19 figures, 6 tables

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Cited by in corpus (6)

• Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• Hessian-free force-gradient integrators
• S-wave flavor-singlet meson mixing in QCD with light and charm quarks
• Application of Laplace filters to the analysis of lattice time correlators
• Numerical stability of force-gradient integrators and their Hessian-free variants in lattice QCD simulations