# Generalized group field theories and quantum gravity transition amplitudes

## Abstract

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.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 20782589

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.061502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Oriti, Daniele.
```*Generalized group field theories and quantum gravity transition amplitudes*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.061502.

```
Oriti, Daniele.
```*Generalized group field theories and quantum gravity transition amplitudes*. United States. doi:10.1103/PHYSREVD.73.061502.

```
Oriti, Daniele. Wed .
"Generalized group field theories and quantum gravity transition amplitudes". United States.
doi:10.1103/PHYSREVD.73.061502.
```

```
@article{osti_20782589,
```

title = {Generalized group field theories and quantum gravity transition amplitudes},

author = {Oriti, Daniele},

abstractNote = {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.},

doi = {10.1103/PHYSREVD.73.061502},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

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