1–6 Aug 2022
University of Stavanger
Europe/Oslo timezone

The static potential using trial states from Laplacian eigenmodes

2 Aug 2022, 16:10
30m
EOJ (UiS)

EOJ

UiS

Main auditorium where also plenaries are held
Parallel Talk A: Vacuum structure and confinement Parallels Track A

Speaker

Roman Höllwieser (University of Wuppertal)

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). 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 be also applied to compute hybrid or tetra-quark potentials and to static-light systems.

Primary authors

Francesco Knechtli (University of Wuppertal) Roman Höllwieser (University of Wuppertal) Michael Peardon (Trinity College Dublin)

Presentation materials