The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories

SSRN Electronic Journal 2026 Preprint Open access

Read full text
Authors: Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo, Luca Schiavone, Alessandro Zampini
DOI: 10.2139/ssrn.6800404
Cited by: 1

Abstract

We evolve the analysis presented in [CDI+24], where we approached the problem of defining a Poisson structure on the space of solutions of the equations of motions for point particle dynamics and for the field equations describing the free and sourceless Maxwell field within a first order Hamiltonian approach. In this paper, we consider the space of solutions of Yang - Mills field equations with non-Abelian gauge symmetries. Using the  coisotropic embedding theorem in an infinite dimensional setting, we present a Poisson structure on a space which suitably enlarges the pre-symplectic space of classical solutions.

Fields of Study & Subjects

Black Holes and Theoretical Physics Homotopy and Cohomology in Algebraic Topology Cosmology and Gravitation Theories

Publication details

Journal / source
SSRN Electronic Journal
Publisher
Elsevier BV
Publication date
1 January 2026
Language
EN
Document type
Preprint