Generalised group field theories and quantum gravity transition amplitudes

Details Generalised group field theories and quantum gravity transition amplitudes Generalised group field theories and quantum gravity transition amplitudes

2005-12-12

arxiv.org/abs/gr-qc/0512069v1

Phys.Rev. D73 (2006) 061502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX; 6 pages, 2 figures

Scientific paper

10.1103/PhysRevD.73.061502

We construct a generalised formalism for group field theories, in which the domain of the field is extended to include additional proper time variables, as well as their conjugate mass variables. This formalism allows for different types of quantum gravity transition amplitudes in perturbative expansion, and we show how both causal spin foam models and the usual a-causal ones can be derived from it, within a sum over triangulations of all topologies. We also highlight the relation of the so-derived causal transition amplitudes with simplicial gravity actions.

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