2-dimensional Regge gravity in the conformal gauge
High Energy Physics - Lattice
2009-10-28 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.hep-lat/9509020,
title = {2-dimensional Regge gravity in the conformal gauge},
author = {Pietro Menotti and Pier Paolo Peirano},
journal= {arXiv preprint arXiv:hep-lat/9509020},
year = {2009}
}
Comments
7 pages, latex file. To be published in the Proceedings of Lattice 95, Melbourne (Australia) 11-15 July 1995