We make rigorous the physics prediction that lattice Yang-Mills theories with gauge groups which have trivial centers do not satisfy Wilson's criterion for quark confinement. Specifically we prove that SO(3) lattice Yang-Mills theory does not satisfy Wilson's criterion in a strong coupling regime.
Cite
@article{arxiv.2605.16162,
title = {Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling},
author = {Ron Nissim},
journal= {arXiv preprint arXiv:2605.16162},
year = {2026}
}