On relativistic spin network vertices

DOI10.1063/1.532850zbMath0959.83020arXivgr-qc/9809067OpenAlexW2118522035MaRDI QIDQ4701836

Michael P. Reisenberger

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9809067

zbMATH Keywords

topological field theoryspin networkssimplicial Euclidean quantum gravityspace of intertwiners

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

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Cites Work

• Discreteness of area and volume in quantum gravity
• Spin networks in gauge theory
• TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
• Relativistic spin networks and quantum gravity
• Quantum theory of geometry: I. Area operators
• State-Sum Invariants of 4-Manifolds
• Classical Euclidean general relativity from `left-handed area = right-handed area'
• Symmetrical Coupling of Three Angular Momenta
• The complete spectrum of the area from recoupling theory in loop quantum gravity