Glueballs, Constituent Gluons and Instantons
Abstract
We present a constituent two-gluon description of the lowest-lying glueball states in pure Yang--Mills theory, calibrated against quenched lattice results. The framework incorporates an instanton-induced dynamical gluon mass, Casimir-scaled adjoint confinement, the short-distance adjoint Coulomb interaction, and instanton-induced central and tensor forces. The scalar glueball is found to be exceptionally compact, with a radius of order the instanton size, , consistent with lattice indications. By contrast, the tensor state remains spatially extended due to the centrifugal barrier. We also discuss the role of - mixing. A semiclassical analysis further supports Regge behavior for excited states, in agreement with lattice results.
Keywords
Cite
@article{arxiv.2604.04803,
title = {Glueballs, Constituent Gluons and Instantons},
author = {Edward Shuryak and Ismail Zahed},
journal= {arXiv preprint arXiv:2604.04803},
year = {2026}
}
Comments
27 pages, 10 Figs. arXiv admin note: substantial text overlap with arXiv:2601.15085