2 6 M ay 2 00 8 Quantum gravity as a unified theory coupled to quantized matter fields
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چکیده
Quantum gravity as a unified theory coupled to quantized matter fields. Abstract In this paper we place some results of previous works together into a larger overall context. First we quantize the gravity-matter system in Ashtekar variables as a unified field, combining the Dirac, reduced phase space, geometric and path integration approaches, and construct the generalized Kodama state by expansion about the pure Kodama state for the lower spin fields. We note some interesting relationships that hold for the unified field, related to the renormalizability properties of the theory. The second quantized theory of gravity is found to correlate to a third-quantized theory of fluctuations of the unified field from DeSitter spacetime, the common link being the exitence of the generalized Kodama states.
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