On the Hamiltonian formulation of Yang--Mills gauge theories
R. Cianci (1), S. Vignolo (1), D. Bruno (2) ((1) DIPTEM - Facolta' di, Ingegneria - Universita' di Genova, (2) Dipartimento di Matematica -, Universita' di Genova)
TL;DR
This paper explores the Hamiltonian formulation of Yang-Mills gauge theories using advanced geometric approaches, aiming to connect them with Einstein-Cartan-like theories for deeper theoretical insights.
Contribution
It provides a detailed Hamiltonian formulation of Yang-Mills theories within the framework of J-bundles and relates them to Einstein-Cartan-like field theories.
Findings
Hamiltonian formulation in Hamilton--De Donder and Multimomentum frameworks
Explicit treatment of (3+3) Yang-Mills theories
Reformulation in terms of Einstein-Cartan-like theories
Abstract
The Hamiltonian formulation of the theory of J-bundles is given both in the Hamilton--De Donder and in the Multimomentum Hamiltonian geometrical approaches. (3+3) Yang-Mills gauge theories are dealt with explicitly in order to restate them in terms of Einstein-Cartan like field theories.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSuperconducting Materials and Applications · Quantum Chromodynamics and Particle Interactions · Quantum and Classical Electrodynamics