The asymptotics of an amplitude for the 4-simplex
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
1999
|
| Online Access: | https://eprints.nottingham.ac.uk/11/ |
| _version_ | 1848790342874169344 |
|---|---|
| author | Barrett, John W. Williams, Ruth M. |
| author_facet | Barrett, John W. Williams, Ruth M. |
| author_sort | Barrett, John W. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:11:06Z |
| format | Article |
| id | nottingham-11 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:06Z |
| publishDate | 1999 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-112020-05-04T20:33:05Z https://eprints.nottingham.ac.uk/11/ The asymptotics of an amplitude for the 4-simplex Barrett, John W. Williams, Ruth M. 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. 1999 Article PeerReviewed Barrett, John W. and Williams, Ruth M. (1999) The asymptotics of an amplitude for the 4-simplex. Adv.Theor.Math.Phys., 3 . pp. 209-215. |
| spellingShingle | Barrett, John W. Williams, Ruth M. The asymptotics of an amplitude for the 4-simplex |
| title | The asymptotics of an amplitude for the 4-simplex |
| title_full | The asymptotics of an amplitude for the 4-simplex |
| title_fullStr | The asymptotics of an amplitude for the 4-simplex |
| title_full_unstemmed | The asymptotics of an amplitude for the 4-simplex |
| title_short | The asymptotics of an amplitude for the 4-simplex |
| title_sort | asymptotics of an amplitude for the 4-simplex |
| url | https://eprints.nottingham.ac.uk/11/ |