Nonperturbative Studies of Quantum Gravity
Wolfgang Beirl, Harald Markum, Juergen Riedler
Abstract
We investigate quantum gravity in the path integral formulation using the Regge calculus. Restricting the quadratic link lengths of the originally triangular lattice the path integral can be transformed to the partition function of a spin system with higher couplings on a Kagome lattice. Various measures acting as external field were considered. Extensions to matter fields and higher dimensions are discussed.
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