English

Spatial Geometry of Hamiltonian Gauge Theories

High Energy Physics - Theory 2009-10-28 v1

Abstract

The Hamiltonians of SU(2)SU(2) and SU(3)SU(3) gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the SU(2)SU(2) gauge theory in 2+1 dimensions are also given.

Keywords

Cite

@article{arxiv.hep-th/9408052,
  title  = {Spatial Geometry of Hamiltonian Gauge Theories},
  author = {Daniel Z. Freedman},
  journal= {arXiv preprint arXiv:hep-th/9408052},
  year   = {2009}
}

Comments

6 pp., LaTeX, CERN/TH.7391/94. (talk presented at the Workshop QCD94, Monpellier , France)