The asymptotics of an amplitude for the 4-simplex

John W. Barrett, Ruth M. Williams
1999 Advances in Theoretical and Mathematical Physics  
A note on versions: The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. For more information, please contact eprints@nottingham.ac.uk arXiv:gr-qc/9809032 v2 Abstract. An expression for the oscillatory part of an asymptotic formula for the
more » ... 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.
doi:10.4310/atmp.1999.v3.n2.a1 fatcat:grjykcle5ravnep74dd7muckhe