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Divergences in spinfoam models: powercounting and resummation in the flat model

Abstract : In this thesis we study the flat model, the main buidling block for the spinfoam approach to quantum gravity, with an emphasis on its divergences. Besides a personal introduction to the problem of quantum gravity, the manuscript consists in two part. In the first one, we establish an exact powercounting formula for the bubble divergences of the flat model, using tools from discrete gauge theory and twisted cohomology. In the second one, we address the issue of spinfoam continuum limit, both from the lattice field theory and the group field theory perspectives. In particular, we put forward a new proof of the Borel summability of the Boulatov-Freidel-Louapre model, with an improved control over the large-spin scaling behaviour. We conclude with an outlook of the renormalization program in spinfoam quantum gravity.
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https://tel.archives-ouvertes.fr/tel-00662170
Contributor : Matteo Smerlak <>
Submitted on : Monday, January 23, 2012 - 3:52:36 PM
Last modification on : Friday, October 23, 2020 - 4:38:57 PM
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  • HAL Id : tel-00662170, version 2

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Matteo Smerlak. Divergences in spinfoam models: powercounting and resummation in the flat model. General Relativity and Quantum Cosmology [gr-qc]. Université de la Méditerranée - Aix-Marseille II, 2011. English. ⟨tel-00662170v2⟩

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