COMBINATORIAL AND TOPOLOGICAL PHASE STRUCTURE OF NON-PERTURBATIVE n-DIMENSIONAL QUANTUM GRAVITY

Mauro Carfora, M. Martellini, Annalisa Marzuoli

Type: Article

Publication Date: 1992-06-01

Citations: 1

DOI: https://doi.org/10.1142/s0217979292001055

Abstract

We provide a non-perturbative geometrical characterization of the partition function of ndimensional quantum gravity based on a rough classification of Riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.

Locations

International Journal of Modern Physics B - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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