Diffeomorphisms and spin foam models

Details Diffeomorphisms and spin foam models Diffeomorphisms and spin foam models

2002-11-29

arxiv.org/abs/gr-qc/0212001v2

Nucl.Phys. B662 (2003) 279-298

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

10.1016/S0550-3213(03)00306-7

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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