The asymptotics of an amplitude for the 4-simplex

Barrett, John W.; Williams, Ruth M.

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.

Citation

Barrett, J. W., & Williams, R. M. (1999). The asymptotics of an amplitude for the 4-simplex. https://doi.org/10.4310/atmp.1999.v3.n2.a1

• Journal Article Type: Article
• Publication Date: Jan 1, 1999
• Deposit Date: Jul 30, 2001
• Publicly Available Date: Oct 9, 2007
• Journal: Adv.Theor.Math.Phys.
• Peer Reviewed: Peer Reviewed
• Volume: 3
• DOI: https://doi.org/10.4310/atmp.1999.v3.n2.a1
• Public URL: https://nottingham-repository.worktribe.com/output/1023872