Generalised group field theories and quantum gravity transition amplitudes - INSPIRE

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Generalised group field theories and quantum gravity transition amplitudes

Daniele Oriti
(
- Cambridge U., DAMTP
)

Dec, 2005

6 pages

Published in:

Phys.Rev.D 73 (2006) 061502

e-Print:

gr-qc/0512069 [gr-qc]

DOI:

10.1103/PhysRevD.73.061502

Report number:

DAMTP-2005-127

View in:

reference search22 citations

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Abstract: (arXiv)

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.

04.60.Gw
04.60.Nc
04.60.Pp
quantum gravity
spin: foam
group theory: Spin(4)
causality
amplitude analysis

References(24)

Figures(0)

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