Spatial Geometry of Hamiltonian Gauge Theories

Details Spatial Geometry of Hamiltonian Gauge Theories Spatial Geometry of Hamiltonian Gauge Theories

1994-08-09

arxiv.org/abs/hep-th/9408052v1

Nucl.Phys.Proc.Suppl.39BC:477-481,1995

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0920-5632(95)00121-O

The Hamiltonians of $SU(2)$ and $SU(3)$ 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 $SU(2)$ gauge theory in 2+1 dimensions are also given.

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