Yang-Mills Fields and Riemannian Geometry
High Energy Physics - Theory
2009-10-28 v2
Abstract
It is possible to define new, gauge invariant variables in the Hilbert space of Yang-Mills theories which manifestly implement Gauss' law on physical states. These variables have furthermore a geometrical meaning, and allow one to uncover further constraints physical states must satisfy. For gauge group , the underlying geometry is Riemannian and based on the group . The formalism allows also for the inclusion of static color sources and the extension to gauge groups , both of which are discussed here.
Cite
@article{arxiv.hep-th/9408164,
title = {Yang-Mills Fields and Riemannian Geometry},
author = {Peter E. Haagensen and Kenneth Johnson},
journal= {arXiv preprint arXiv:hep-th/9408164},
year = {2009}
}
Comments
22 PP., HARVMAC. MINOR TYPOS CORRECTED - FINAL VERSION, TO BE PUBLISHED IN NUCL. PHYS. B