Document Type
Article
Publication Date
2026
Keywords
Yang-Mills, Fermion Sign Problem, entropy, renormalized perturbation theory, spherical harmonics, solid harmonics
Abstract
A new resolution of the Fermion sign problem is accomplished based on the theory of homology groups and thimbles. The sign problem for residual states not reached by the homology groups and thimbles is resolved by a perturbative converged Bosonic expansion. The proofs depend on an assumed principle of a maximum rate of entropy production. Two Yang-Mills gauge field theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Glimm, James, "The Yang-Mills Field: The Fermion Sign Problem" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 14.
https://commons.library.stonybrook.edu/ams-articles/14