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

Pushan Majumdar, H. S. Sharatchandra

hep-tharXiv:hep-th/0008077

Abstract

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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