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Research PapersNo Access

QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j-SYMBOL

JOHN W. BARRETT

School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK

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WINSTON J. FAIRBAIRN

School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK

Department Mathematik, Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany

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School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK

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https://doi.org/10.1142/S0217751X10049281Cited by:42 (Source: Crossref)

Abstract

The asymptotics of the SU(2) 15j-symbol are obtained using coherent states for the boundary data. The geometry of all nonsuppressed boundary data is given. For some boundary data, the resulting formula is interpreted in terms of the Regge action of the geometry of a 4-simplex in four-dimensional Euclidean space. This asymptotic formula can be used to derive and extend the asymptotics of the spin foam amplitudes for quantum gravity models. The relation of the SU(2) Ooguri model to these quantum gravity models and their continuum Lagrangians is discussed.

Keywords:

Quantum gravity

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Vol. 25, No. 14

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History

Received 5 January 2010

Keywords

Quantum gravity