Functional integration on Regge geometries

Details Functional integration on Regge geometries Functional integration on Regge geometries

1996-07-29

arxiv.org/abs/hep-lat/9607073v1

Nucl.Phys.Proc.Suppl. 53 (1997) 780-782

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX file. Talk presented at LATTICE96(gravity)

Scientific paper

10.1016/S0920-5632(96)00780-3

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.

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