Commuting simplicity and closure constraints for 4D spin-foam models

2010/10/31 by Muxin Han, Thomas Thiemann
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Closure (psychology) #Constraint (computer-aided design) #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Path (computing) #Path integral formulation #Simplicity #Spin foam #Vertex (graph theory) #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/30/23/235024

published as Class. Quantum Grav. 30 (2013) 235024 · 41 pages, 4 figures

openalex publication_date 2013/10/30 · arxiv created 2013/10/31 · arxiv updated 2013/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

41 pages, 4 figures

Citations

• Asymptotics of 10 j symbols
• Group Field Theory with Noncommutative Metric Variables
• Loop-Quantum-Gravity Vertex Amplitude
• Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
• Geometric quantization and multiplicities of group representations
• Quantum Spin Dynamics VIII. The Master Constraint
• LQG vertex with finite Immirzi parameter
• Real and complex connections for canonical gravity
• From lattice BF gauge theory to area–angle Regge calculus
• New Variables for Classical and Quantum Gravity
• New Hamiltonian formulation of general relativity
• Spin foam models for quantum gravity
• Real Ashtekar variables for Lorentzian signature space-times
• New spinfoam vertex for quantum gravity
• The Phoenix Project: master constraint programme for loop quantum gravity
• Complete LQG propagator: Difficulties with the Barrett-Crane vertex