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Glueballs, Constituent Gluons and Instantons

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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 $0^{++}$ glueball is found to be exceptionally compact, with a radius of order the instanton size, $\rho \sim \frac 13\,\mathrm{fm}$, consistent with lattice indications. By contrast, the tensor $2^{++}$ state remains spatially extended due to the centrifugal barrier. We also discuss the role of $S$-$D$ mixing. A semiclassical analysis further supports Regge behavior for excited states, in agreement with lattice results.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Hybrid hadrons at rest and on the light front

hep-ph · 2026-04-29 · unverdicted · novelty 6.0

A constituent-gluon Born-Oppenheimer model is used to derive light-front wave functions and gluon PDFs for hybrid hadrons ccg and qqqg.

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  • Hybrid hadrons at rest and on the light front hep-ph · 2026-04-29 · unverdicted · none · ref 10 · internal anchor

    A constituent-gluon Born-Oppenheimer model is used to derive light-front wave functions and gluon PDFs for hybrid hadrons ccg and qqqg.