2-dimensional Regge gravity in the conformal gauge

Abstract

By restricting the functional integration to the Regge geometries, we give the discretized version of the well known path integral formulation of 2--dimensional quantum gravity in the conformal gauge. We analyze the role played by diffeomorphisms in the Regge framework and we give an exact expression for the Faddeev--Popov determinant related to a Regge surface; such an expression in the smooth limit goes over to the correct continuum result.

Comments: 7 pages, latex file. To be published in the Proceedings of Lattice 95, Melbourne (Australia) 11-15 July 1995