Document Type
Article
Publication Date
8-31-2025
Keywords
Yang-Mills Mass Gap
Abstract
We construct a pure Yang-Mills quantum gauge field theory. The construction is based on the axial gauge, ghost states, the BRST framework and the entropy production maximizing Gribov extension of the Hamiltonian, with a loop expansion to all finite orders for the dynamics. The construction is established by renormalized perturbation theory to finite order. Reflection positivity and the reconstruction theorem are established. Hilbert space convergence of renormalized perturbation theory is a consequence of the reconstruction theorem. All Osterwalder-Schrader axioms are verified. A two-sided mass gap exists in the energy spectrum for the weak coupling limit of low temperature. The conditions of the Yang-Mills Millennium Prize are fulfilled. The construction depends on an assumed principle of a maximum rate of entropy production. The entropy principle reduces drasticly the number of terms in the renormalized perturbation theory series. This principle is essential in achieving convergence.
Recommended Citation
Glimm, James, "The Pure Yang-Mills Field" (2025). Department of Applied Mathematics & Statistics Faculty Publications. 4.
https://commons.library.stonybrook.edu/ams-articles/4