Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity

TL;DR

This paper independently derives the EPR spinfoam model for quantum gravity, demonstrating that it consistently implements simplicity constraints to recover general relativity from a topological BF theory using coherent state techniques.

Contribution

It provides an independent derivation of the EPR model and shows its consistent implementation of simplicity constraints using coherent states.

Findings

EPR model correctly implements simplicity constraints

Demonstrates connection between BF theory and general relativity

Uses coherent state techniques for derivation

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.