Non-perturbative summation over 3D discrete topologies
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
Abstract
We construct a group field theory which realizes the sum of gravity amplitudes over all three dimensional topologies trough a perturbative expansion. We prove this theory to be uniquely Borel summable. This shows how to define a non-perturbative summation over triangulations including all topologies in the context of three dimensional discrete gravity.
Cite
@article{arxiv.hep-th/0211026,
title = {Non-perturbative summation over 3D discrete topologies},
author = {Laurent Freidel and David Louapre},
journal= {arXiv preprint arXiv:hep-th/0211026},
year = {2009}
}
Comments
20 pages, 9 figures, note added, minor corrections