English

Glueballs, Constituent Gluons and Instantons

High Energy Physics - Phenomenology 2026-04-07 v1 High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory

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 0++0^{++} glueball is found to be exceptionally compact, with a radius of order the instanton size, ρ13fm\rho \sim \frac 13\,\mathrm{fm}, consistent with lattice indications. By contrast, the tensor 2++2^{++} state remains spatially extended due to the centrifugal barrier. We also discuss the role of SS-DD 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

R2 v1 2026-07-01T11:55:29.829Z