The pure Yang-Mills field, I: fixed time existence

The convergence of renormalized perturbation theory to all finite orders is defined and shown to be valid for the fixed time perturbation theory of a pure Yang-Mills field. Two pure Yang-Mills quantum gauge field theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics. The construction depends on an assumed principle of a maximum rate of entropy production.

# Applied mathematics. Quantitative methods # Probabilities. Mathematical statistics # maximal rate of entropy principle # maximum rate of energy dissipation # maximum rate of energy dissipation principle # nce theory fixed time # renormalized perturbation theory fixed time

James Glimm, James Glimm (2026). "The pure Yang-Mills field, I: fixed time existence". Frontiers in Applied Mathematics and Statistics. https://doi.org/10.3389/fams.2026.1811439