A new approach to classical Einstein-Yang-Mills Theory
General Relativity and Quantum Cosmology
2022-10-25 v1
Abstract
The conventional Rosenfeld-Bergmann-Dirac constrained Hamiltonian algorithm applied to Einstein-Yang-Mills theory is shown to be equivalent to a local gauge theoretic extension of Cartan's invariant integral approach to classical mechanics. In addition, the Hamiltonian generators of Legendre-projectable spacetime diffeomorphism and gauge symmetries are derived directly as vanishing Noether charges. This leads directly to their interpretation as delivering the correct symmetry variations of both configuration and momentum feld variables.
Cite
@article{arxiv.2210.12769,
title = {A new approach to classical Einstein-Yang-Mills Theory},
author = {Donald Salisbury},
journal= {arXiv preprint arXiv:2210.12769},
year = {2022}
}
Comments
To be published in Particles, Fields and Topology: Celebrating A.P. Balachandran, a Festschrift volume for A.P. Balachandran