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Journal Article

Holonomy observables in Ponzano-Regge type state sum models

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45866

Hellmann,  Frank
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1106.6016
(Preprint), 171KB

CQG_29_4_045006.pdf
(Any fulltext), 267KB

Supplementary Material (public)
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Citation

Barrett, J. W., & Hellmann, F. (2012). Holonomy observables in Ponzano-Regge type state sum models. Classical and quantum gravity, 29(4): 045006. doi:10.1088/0264-9381/29/4/045006.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-95FD-9
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.