English

Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity

High Energy Physics - Theory 2014-11-18 v1

Abstract

We provide a non-perturbative geometrical characterization of the partition function of nn-dimensional quantum gravity based on a coarse 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.

Keywords

Cite

@article{arxiv.hep-th/9203053,
  title  = {Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity},
  author = {M. Carfora and M. Martellini and A. Marzuoli},
  journal= {arXiv preprint arXiv:hep-th/9203053},
  year   = {2014}
}

Comments

13 pages