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The asymptotics of an amplitude for the 4-simplex

Barrett, John W.; Williams, Ruth M.

Authors

JOHN BARRETT john.barrett@nottingham.ac.uk
Professor of Mathematical Physics

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.

Citation

Barrett, J. W., & Williams, R. M. (1999). The asymptotics of an amplitude for the 4-simplex

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
Public URL http://eprints.nottingham.ac.uk/id/eprint/11
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf


9809032.pdf (90 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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