The static energy of a quark-antiquark pair from Laplacian eigenmodes

We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime of this method is significantly smaller than the standard Wil...

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Published in:arXiv.org 2022-09
Main Authors: Höllwieser, Roman, Knechtli, Francesco, Peardon, Mike
Format: Article
Language:English
Subjects:
Computation
Distillation
Eigenvalues
Eigenvectors
Fermions
Mathematical analysis
Quantum chromodynamics
Quarks
Spatial resolution
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Knechtli, Francesco
Peardon, Mike
description We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime of this method is significantly smaller than the standard Wilson loop calculation, when computing the static potential not only for on-axis, but also for many off-axis quark-antiquark separations, i.e., when a fine spatial resolution is required. We further improve the signal by using multiple eigenvector pairs, weighted with Gaussian profile functions of the eigenvalues, providing a basis for a generalized eigenvalue problem (GEVP), as it was recently introduced to improve distillation in meson spectroscopy. We show results with the new method for the static potential with dynamical fermions and demonstrate its efficiency compared to traditional Wilson loop calculations. The method presented here can also be applied to compute hybrid or tetra-quark potentials and to static-light systems.
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subjects Computation
Distillation
Eigenvalues
Eigenvectors
Fermions
Mathematical analysis
Quantum chromodynamics
Quarks
Spatial resolution
title The static energy of a quark-antiquark pair from Laplacian eigenmodes
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