The Pure Yang-Mills Field. I: Eistence

Authors

James Glimm, State University of New York at Stony BrookFollow

Document Type

Article

Publication Date

2026

Keywords

Yang-Mills, Perturbation Theory, entropy, spherical harmonics, solid harmonics

Abstract

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 is based on the axial gauge, ghost states, the BRST framework and Gribov extension of the Hamiltonian, with a loop expansion cutoff to all finite orders for the dynamics.

The construction is established by renormalized perturbation theory to all finite orders.

The construction depends on an assumed principle of a maximum rate of entropy production

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Glimm, James, "The Pure Yang-Mills Field. I: Eistence" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 15.
https://commons.library.stonybrook.edu/ams-articles/15