The loop-quantum-gravity vertex-amplitude

dc.creatorEngle, Jonathan
dc.creatorPereira, Roberto
dc.creatorRovelli, Carlo
dc.date2007-05-16
dc.date.accessioned2026-07-07T11:16:10Z
dc.date.available2026-07-07T11:16:10Z
dc.descriptionSpinfoam theories are hoped to provide the dynamics of non-perturbative loop quantum gravity. But a number of their features remain elusive. The best studied one -the euclidean Barrett-Crane model- does not have the boundary state space needed for this, and there are recent indications that, consequently, it may fail to yield the correct low-energy $n$-point functions. These difficulties can be traced to the SO(4) -> SU(2) gauge fixing and the way certain second class constraints are imposed, arguably incorrectly, strongly. We present an alternative model, that can be derived as a bona fide quantization of a Regge discretization of euclidean general relativity, and where the constraints are imposed weakly. Its state space is a natural subspace of the SO(4) spin-network space and matches the SO(3) hamiltonian spin network space. The model provides a long sought SO(4)-covariant vertex amplitude for loop quantum gravity.
dc.description6pages
dc.identifierhttps://arxiv.org/abs/0705.2388
dc.identifierhttp://arxiv.org/abs/0705.2388
dc.identifierPhys.Rev.Lett.99:161301,2007
dc.identifierdoi:10.1103/PhysRevLett.99.161301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192582
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe loop-quantum-gravity vertex-amplitude
dc.typetext

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