Finiteness of the EPRL/FK spin foam model

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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v4: Substantial revision, improved results, better lower bound obtained

Scientific paper

We show that the EPRL/FK spin foam model of quantum gravity can be made
finite by dividing the vertex amplitude with an appropriate power $p$ of the
product of dimensions of the vertex spins. This power is independent of the
spin foam 2-complex and we find a lower bound for $p$ which makes the state sum
absolutely convergent.

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