Non-perturbative summation over 3D discrete topologies

Details Non-perturbative summation over 3D discrete topologies Non-perturbative summation over 3D discrete topologies

2002-11-05

arxiv.org/abs/hep-th/0211026v2

Phys.Rev. D68 (2003) 104004

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 9 figures, note added, minor corrections

Scientific paper

10.1103/PhysRevD.68.104004

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.

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