Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity

Abstract

We give an independent derivation of the Engle-Pereira-Rovelli spinfoam model for quantum gravity which recently appeared in [arXiv:0705.2388]. Using the coherent state techniques introduced earlier in [arXiv:0705.0674], we show that the EPR model realizes a consistent imposition of the simplicity constraints implementing general relativity from a topological BF theory.

6 pages, 2 figures, v2: typos corrected

References in corpus (5)

• A new spinfoam vertex for quantum gravity
• The loop-quantum-gravity vertex-amplitude
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• Group Integral Techniques for the Spinfoam Graviton Propagator
• Spin foam model from canonical quantization

Cited by in corpus (8)

• Area-angle variables for general relativity
• Stepping out of Homogeneity in Loop Quantum Cosmology
• Regularization and finiteness of the Lorentzian LQG vertices
• Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups
• Simplicity and closure constraints in spin foam models of gravity
• A Lagrangian approach to the Barrett-Crane spin foam model
• Spin-Foam Models and the Physical Scalar Product
• Topological field theories in n-dimensional spacetimes and Cartan's equations