Document Type
Article
Publication Date
2026
Keywords
Yang-Mills equation, Infinite volume limit, renormalized perturbation theory, axioms
Abstract
The infinite volume limit is constructed based on previously constructed finite volume pure Yang-Mills quantum gauge field theories. For this limit theory, Osterwalder-Schrader axioms are verified and the existence of a mass gap in the energy spectrum is proven.
Requirements for the Millennium Yang-Mills prize are fulfilled.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Glimm, James, "The Pure Yang-Mills Field: Axioms and the Mass Gap" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 23.
https://commons.library.stonybrook.edu/ams-articles/23