Generalized group field theories and quantum gravity transition amplitudes

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.061502· OSTI ID:20782589

Oriti, Daniele ^[1]

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1. D.A.M.T.P.-University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

We construct a generalized 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.

• OSTI ID: 20782589
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevD.73.061502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
GRAVITATION
MASS
QUANTUM GRAVITY
SPIN
TOPOLOGY
TRANSITION AMPLITUDES