Functional formulation of Regge gravity

Physics

Scientific paper

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Lattice Gauge Theory

Scientific paper

We consider the problem of quantizing gravity in a simplicial, Regge-calculus approach. Based on the idea of invariants, we derive the metric and the measure for integrating over Regge manifolds. These results are general; in two dimensions they exhibit the necessary agreement with the continuum (two-dimensional gravity and the Polyakov string model). This provides a basis for numerical Monte Carlo studies.

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