Canonical path integral measures for Holst and Plebanski gravity: I. Reduced phase space derivation

DOI10.1088/0264-9381/27/24/245014zbMath1208.83041arXiv0911.3433OpenAlexW3105626011MaRDI QIDQ3069475

Thomas Thiemann, Jonathan Engle, Muxin Han

Publication date: 26 January 2011

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

Full work available at URL: https://arxiv.org/abs/0911.3433

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Length, area, volume, other geometric measure theory (28A75)

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Lagrangian constraints and renormalization of 4D gravity ⋮ Relation between Regge calculus and BF theory on manifolds with defects ⋮ A discretization of Holst's action for general relativity ⋮ The Holst spin foam model via cubulations ⋮ Spin-foam model for gravity coupled to massless scalar field ⋮ The spin-foam approach to quantum gravity

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