Abstract
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.
- Received 17 July 1985
DOI:https://doi.org/10.1103/PhysRevD.33.1634
©1986 American Physical Society