The physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory

DOI10.1088/0264-9381/27/20/205003zbMath1202.83044arXiv1006.1294OpenAlexW2014405245MaRDI QIDQ3057997

You Ding, Carlo Rovelli

Publication date: 18 November 2010

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

Full work available at URL: https://arxiv.org/abs/1006.1294

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

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Quantum geometric maps and their properties ⋮ Complex Ashtekar variables and reality conditions for Holst's action ⋮ Area propagator and boosted spin networks in loop quantum gravity ⋮ LOCAL SPIN FOAMS ⋮ Edge modes of gravity. III: Corner simplicity constraints ⋮ REGGE GRAVITY FROM SPINFOAMS ⋮ \(\mathrm{SU}(2)\) and \(\mathrm{SU}(1, 1)\) \(Y\)-maps in loop quantum gravity ⋮ 4-dimensional spin-foam model with quantum Lorentz group ⋮ The spin-foam approach to quantum gravity

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