On the role of the Barbero–Immirzi parameter in discrete quantum gravity

DOI10.1088/0264-9381/30/9/095015zbMath1269.83030arXiv1209.4892OpenAlexW2052269201MaRDI QIDQ4928838

Bianca Dittrich, James P. Ryan

Publication date: 18 June 2013

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4892

zbMATH Keywords

quantum gravitysymplectic structureBarbero-Immirzi parameterloop quantization programmeRegge geometries

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Related Items (11)

From spin foams to area metric dynamics to gravitons ⋮ Towards effective actions for the continuum limit of spin foams ⋮ Memory effect, conformal symmetry and gravitational plane waves ⋮ A note on the Holst action, the time gauge, and the Barbero-Immirzi parameter ⋮ Area propagator and boosted spin networks in loop quantum gravity ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ Quantum geometry from higher gauge theory ⋮ Discrete gravity dynamics from effective spin foams ⋮ Effective spin foam models for Lorentzian quantum gravity ⋮ Local gravity theories in conformal superspace ⋮ The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphisms

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