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Diffeomorphisms and spin foam models

· 2002 · gr-qc · arXiv gr-qc/0212001

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abstract

We study the action of diffeomorphisms on spin foam models. We prove that in 3 dimensions, there is a residual action of the diffeomorphisms that explains the naive divergences of state sum models. We present the gauge fixing of this symmetry and show that it explains the original renormalization of Ponzano-Regge model. We discuss the implication this action of diffeomorphisms has on higher dimensional spin foam models and especially the finite ones.

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gr-qc 1

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2019 1

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Quantum geometry from higher gauge theory

gr-qc · 2019-08-16 · conditional · novelty 7.0

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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  • Quantum geometry from higher gauge theory gr-qc · 2019-08-16 · conditional · none · ref 72 · internal anchor

    The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.