Multi-plaquette solutions for discretized Ashtekar gravity
نویسنده
چکیده
A discretized version of canonical quantum gravity proposed by Loll is investigated. After slightly modifying Loll’s discretized Hamiltonian constraint, we encode its action on the spin network states in terms of combinatorial topological manipulations of the lattice loops. Using this topological formulation we find new solutions to the discretized Wheeler-Dewitt equation. These solutions have their support on the connected set of plaquettes. We also show that these solutions are not normalizable with respect to the induced heat-kernel measure on SL(2,C) gauge theories. ∗Supported by JSPS. e-mail address: [email protected]
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تاریخ انتشار 1995