The mass gap of Yang-Mills theory is derived analytically by establishing a correspondence between the classical kinetic energy coefficient and the quantum half-life
decay constant. The replacement 1/2→ln2/k transforms the energy equation into a form compatible with gluonic bound states. The dimensionless constant k is de-
termined from the running coupling as k = 2π/αs≈ 18. The trace anomaly, with an explicit derivation from the beta function and gluon condensate scaling, yields m0++= 4 √σ. Utilizing the lattice-calibrated string tension √σ = 7/16 GeV, the mass
gap is computed as 1.75 GeV. The kinetic-half-life correspondence then predicts the flux tube thickness L =4 ln2/k√σ≈ 0.352 GeV^-1, consistent with the lattice value
0.343 GeV^-1. Four independent confirmatory calculations—lattice error analysis, gluon condensate sum rule inversion, excited-state Regge trajectory matching, and
decay width half-life consistency—converge to this value within standard uncertainties. A constructive outline for the continuum limit and the positivity of the mass
gap is provided, demonstrating that the derivation is consistent with the rigorous requirements of the Yang-Mills Millennium Problem.
@inproceedings{batu2026a,
title={A Kinetic-Half-Life Correspondence and the Yang-Mills Mass Gap},
author={Batu J J YAGAH},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20260921113037742349784},
pages={12},
year={2026},
}
Batu J J YAGAH. A Kinetic-Half-Life Correspondence and the Yang-Mills Mass Gap. 2026. pp.12. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20260921113037742349784.