Spatial Geometry of Hamiltonian Gauge Theories
Daniel Z. Freedman
Abstract
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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