Instanton effects on the heavy-quark static potential

TL;DR

This paper explores how instantons influence the heavy-quark potential, including spin effects, using the instanton liquid model, and assesses their impact on quarkonia spectra, finding effects are small but necessary for accurate modeling.

Contribution

It introduces a method to derive spin-dependent heavy-quark potentials from the instanton vacuum and evaluates their effects on quarkonia spectra.

Findings

Instanton effects on the potential are marginal.

Instanton effects are necessary for quantitative spectral descriptions.

The method derives spin-dependent potentials from the instanton vacuum.

Abstract

We investigate the instanton effects on the heavy-quark potential,including its spin-dependent part, based on the instanton liquid model. Starting with the central potential derived from the instanton vacuum, we obtain the spin-dependent part of the heavy-quark potential. We discuss the results of the heavy-quark potential from the instanton vacuum. We finally solve the nonrelativistic two-body problem, associating with the heavy-quark potential from the instanton vacuum. The instanton effects on the quarkonia spectra are marginal but are required for quantitative description of the spectra.