Linking covariant and canonical LQG II: spin foam projector

DOI10.1088/0264-9381/31/12/125008zbMath1295.83032arXiv1307.5885OpenAlexW2057912183MaRDI QIDQ5169551

Antonia Zipfel, Thomas Thiemann

Publication date: 10 July 2014

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

Full work available at URL: https://arxiv.org/abs/1307.5885

zbMATH Keywords

regularizationHilbert spaceloop quantum gravityboundary graphHamiltonian constraint operator

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

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Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces ⋮ Quantization of systems with temporally varying discretization. II. Local evolution moves ⋮ Quantum geometric maps and their properties ⋮ Relation between Regge calculus and BF theory on manifolds with defects ⋮ Boosting Wigner’s nj-symbols ⋮ Spin-foam model for gravity coupled to massless scalar field ⋮ Asymptotic analysis of the EPRL model with timelike tetrahedra

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