23–29 Oct 2022
Sicily, italy
Europe/Warsaw timezone

Static quark operators based on Laplacian Eigenmodes

29 Oct 2022, 11:00
30m
Sicily, italy

Sicily, italy

Arathena Rocks Hotel, Via Calcide Eubea, 55, 98035 Giardini Naxos ME, Italy

Speaker

Roman Höllwieser (University of Wuppertal)

Description

We investigate a representation of static quark operators based on trial states formed by eigenvector components of the covariant lattice Laplace operator. We test the method for computing the static quark-antiquark potential and compare the results to standard Wilson loop measurements. The runtime of the new method is significantly smaller 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, e.g., for string breaking calculations. 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. The method presented here can be applied to extract other potential functions for all possible excitations of a gluonic string with fixed ends, hybrid or tetra-quark potentials, as well as static-light systems.

Primary author

Roman Höllwieser (University of Wuppertal)

Co-authors

Francesco Giacomo Knechtli (Bergische Universitaet Wuppertal (DE)) Mike Peardon

Presentation materials