Document Type
Article
Publication Date
2026
Keywords
Yang-Mills, Millennium Prize, Blowup, axioms
Abstract
The temporal scaling of the quantum Yang-Mills solution is characterized by analytic solutions for a limited time interval, ended by a discontinuity (blowup).
For general initial conditions, there will be a finite series of these discontinuities.
The time asymptotic limit of this series of discontinuities is given as the mean of these solutions, starting with the mean of the initial data. The time asymptote is the solution in $\mathcal{S}'$ of the heat equation as a stochastic process.
The time asymptote satisfies the cluster axiom, to complete the requirements for a solution of the Millennium Yang-Mills problem.
The principle of a maximum rate of entropy production is assumed.
Lean computer verification of proofs is in progress.
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Glimm, James, "The Pure Yang-Mills Field, Repeated Blowups" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 23.
https://commons.library.stonybrook.edu/ams-articles/23