Document Type
Article
Publication Date
2026
Keywords
Yang-Mills, Perturbation Theory, entropy, spherical harmonics, solid harmonics
Abstract
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.
Recommended Citation
Glimm, James and Glimm, James, "The Pure Yang-Mills Field: I: Fixed Time Existence" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 12.
https://commons.library.stonybrook.edu/ams-articles/12