Document Type
Article
Publication Date
2026
Keywords
Yang-Mills, renormalized perturbation theory, spherical harmonics, solid harmonics
Abstract
This paper demonstrates convergence of the loop expansion for Yang-Mills fields.
The loop construction of perturbation theory is based on the axial gauge, ghost states, the BRST framework and the Gribov extension of the Hamiltonian, with the loop expansion perturbatively renormalizable.
The construction is established by renormalized perturbation theory convergent to all finite orders.
Two distinct Yang-Mills 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.
The paper has sufficient generality to include existence for all cases that arise in planned future Yang-Mills studies.
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Glimm, James, "The Boson Yang-Mills Field: The Loop Expansion" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 22.
https://commons.library.stonybrook.edu/ams-articles/22