Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
Abstract
We investigate static quark anti-quark operators based on trial states formed from eigenvectors of the covariant three-dimensional lattice Laplace operator. We test the method by computing the static quark-anti-quark potential and comparing results to standard Wilson loop measurements. The new method is efficient not only for on-axis, but also for many off-axis quark-anti-quark separations when a fine spatial resolution is required. We further improve the ground-state overlap by using multiple eigenvector pairs, weighted with Gaussian profile functions of the eigenvalues, providing a variational basis. The method presented here can be applied to potential functions for all possible excitations of a gluonic string with fixed ends, hybrid or tetra-quark potentials, as well as static-light systems and allows visualization of the spatial distribution of the Laplace trial states.
Keywords
Cite
@article{arxiv.2212.08485,
title = {Constructing static quark-anti-quark creation operators from Laplacian eigenmodes},
author = {Roman Höllwieser and Francesco Knechtli and Tomasz Korzec and Michael Peardon and Juan Andrés Urrea-Niño},
journal= {arXiv preprint arXiv:2212.08485},
year = {2023}
}