In Ashtekar's formalism, the phase space of general relativity is imbedded into the phase space of complex SU(2) Yang-Mills theory. In this paper, the approach of analyzing local symmetries and constraints in ordinary feild theories is generalized to the complex field theory, the phase space of the Ashtekar formalism is constructed from the configuration space of the self dual Palatini formalism, and the relationship hetween local symmetries of the configuration space and constraints on the phase space is then discussed.
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