Document Type
Article
Publication Date
2026
Keywords
Yang-Mills Fields, Fermion, Thimbles, Convergence of RPT
Abstract
A mathematical resolution of the Fermion sign problem is accomplished based on the theory of homology groups and thimbles. The original contribution of this paper is the mathematicly rigorous convergence of residual states. The residual states remain after use of a rigorous Picard-Lefschetz saddle point optimization.
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