Abstract
We explore a novel approach to compute the force between a static quark-antiquark pair with the gradient flow algorithm on the lattice. The approach is based on inserting a chromoelectric field in a Wilson loop. The renormalization issues, associated with the finite size of the chromoelectric field on the lattice, can be solved with the use of gradient flow. We compare numerical results for the flowed static potential to our previous measurement of the same observable without a gradient flow.
Highlights
The static potential V(r) between a static quark and an antiquark is a quantity that has been studied for a long time in QCD
We explore a novel approach to compute the force between a static quark-antiquark pair with the gradient flow algorithm on the lattice
The perturbative expression for the static potential is, a↵ected by a renormalon of order ⇤QCD [2, 3]
Summary
The static potential V(r) between a static quark and an antiquark is a quantity that has been studied for a long time in QCD. These self-energy contributions cause a slow convergence towards the continuum limit Such behavior is expected, as it is well known that operators that involve components of the field strength tensor often come with sizable discretization errors associated with the slow convergence of lattice perturbation theory when expanded with respect to the bare coupling. An interesting alternative approach to this renormalization issue is o↵ered by an algorithm known as the gradient flow [17] In this proceeding, we study the static force measured on the lattice with the gradient flow and show that the gradient flow reduces sizably discretization e↵ects related to insertion of components of the field strength tensor.
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