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arxiv: hep-th/0008077 · v1 · submitted 2000-08-09 · ✦ hep-th · gr-qc· hep-lat

3+1 dimensional Yang-Mills theory as a local theory of evolution of metrics on 3 manifolds

classification ✦ hep-th gr-qchep-lat
keywords theoryyang-millsdimensionalevolutionlocalmanifoldsmetricscanonical
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An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of metrics on 3 manifolds.

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