Bubble divergences: sorting out topology from cell structure

Details Bubble divergences: sorting out topology from cell structure Bubble divergences: sorting out topology from cell structure

2011-03-21

arxiv.org/abs/1103.3961v1

Annales Henri Poincar\'e: 13 (2012) 185-208

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

10.1007/s00023-011-0127-y

We conclude our analysis of bubble divergences in the flat spinfoam model. In [arXiv:1008.1476] we showed that the divergence degree of an arbitrary two-complex Gamma can be evaluated exactly by means of twisted cohomology. Here, we specialize this result to the case where Gamma is the two-skeleton of the cell decomposition of a pseudomanifold, and sharpen it with a careful analysis of the cellular and topological structures involved. Moreover, we explain in detail how this approach reproduces all the previous powercounting results for the Boulatov-Ooguri (colored) tensor models, and sheds light on algebraic-topological aspects of Gurau's 1/N expansion.

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