A spin foam model without bubble divergences

DOI10.1016/S0550-3213(01)00030-XzbMath1097.83517arXivgr-qc/0006107WikidataQ126773860 ScholiaQ126773860MaRDI QIDQ5933213

Carlo Rovelli, Alejandro Perez

Publication date: 7 June 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0006107

zbMATH Keywords

Barett-Crane modelfundamental bubble amplitudesquantum F theory

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Related Items (20)

Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models ⋮ Implementing causality in the spin foam quantum geometry ⋮ Renormalization of a tensorial field theory on the homogeneous spaceSU(2)/U(1) ⋮ Bubble divergences: sorting out topology from cell structure ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions ⋮ Quantum simplicial geometry in the group field theory formalism: reconsidering the Barrett–Crane model ⋮ Infinite-Dimensional Representations of 2-Groups ⋮ Bubble divergences from twisted cohomology ⋮ Spin foam quantization and anomalies ⋮ Finiteness of a spinfoam model for Euclidean quantum general relativity ⋮ Bubble divergences from cellular cohomology ⋮ Group field theory: an overview ⋮ Boundary terms in the Barrett-Crane spin foam model and consistent gluing ⋮ Quantum Field Theory of Open Spin Networks and New Spin Foam Models ⋮ Diffeomorphisms and spin foam models ⋮ Loop-Quantum-Gravity Vertex Amplitude ⋮ Graviton Propagator from Background-Independent Quantum Gravity ⋮ Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model ⋮ Renormalization of discrete models without background

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