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The asymptotics of an amplitude for the 4-simplex

By John W. Barrett and Ruth M. Williams

Abstract

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry

Year: 1999
OAI identifier: oai:eprints.nottingham.ac.uk:11
Provided by: Nottingham ePrints

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