Functional integration on Regge geometries
High Energy Physics - Lattice
2009-10-28 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We adopt the standard definition of diffeomorphism for Regge gravity in D=2 and give an exact expression of the Liouville action in the discretized case. We also give the exact form of the integration measure for the conformal factor. In D>2 we extend the approach to any family of geometries described by a finite number of parameters. The ensuing measure is a geometric invariant and it is also invariant in form under an arbitrary change of parameters.
Keywords
Cite
@article{arxiv.hep-lat/9607073,
title = {Functional integration on Regge geometries},
author = {Pietro Menotti and Pier Paolo Peirano},
journal= {arXiv preprint arXiv:hep-lat/9607073},
year = {2009}
}
Comments
3 pages, LaTeX file. Talk presented at LATTICE96(gravity)