Holonomy observables in Ponzano-Regge type state sum models
General Relativity and Quantum Cosmology
2015-05-28 v1 Mathematical Physics
math.MP
Abstract
We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory.
Cite
@article{arxiv.1106.6016,
title = {Holonomy observables in Ponzano-Regge type state sum models},
author = {John W. Barrett and Frank Hellmann},
journal= {arXiv preprint arXiv:1106.6016},
year = {2015}
}
Comments
15 pages, 2 figures