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Hamiltonian analysis of the BFCG formulation of General Relativity
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We perform the complete Hamiltonian analysis of the BFCG action for General Relativity. We determine all the constraints of the theory and classify them into the first-class and the second-class constraints. We also show how the canonical formulation of BFCG General Relativity reduces to the Einstein-Cartan and triad canonical formulations. The reduced phase space analysis also gives a 2-connection which is suitable for the construction of a spin-foam basis which will be a categorical generalization of the spin-network basis from Loop Quantum Gravity.
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Cited by 2 Pith papers
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Quantum geometry from higher gauge theory
The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.
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A 3BF model of quantum gravity coupled to Standard Model matter
A 3BF higher-gauge model of quantum gravity with the full Standard Model is discretized on a piecewise-flat manifold, yielding a concrete path integral.
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