Published March 21, 2002
| Version v1
Journal article
An efficient algorithm for the Riemannian 10j symbols
Creators
- 1. Department of Mathematics, University of Western Ontario, London, ON (Canada)
Description
The 10j symbol is a spin network that appears in the partition function for the Barrett-Crane model of Riemannian quantum gravity. Elementary methods of calculating the 10j symbol require O(j9) or more operations and O(j2) or more space, where j is the average spin. We present an algorithm that computes the 10j symbol using O(j5) operations and O(j2) space, and a variant that uses O(j6) operations and a constant amount of space. An implementation has been made available on the web
Availability note (English)
Available online at http://stacks.iop.org/0264-9381/19/1185/q20610.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0264-9381/19/1185/q20610.pdf; http://www.iop.org/;
- PII
- S0264-9381(02)31387-X;
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 19
- Journal Issue
- 6
- Journal Page Range
- p. 1185-1193
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34031396
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; FIELD THEORIES; QUANTUM GRAVITY; RIEMANN SPACE; SPIN
- Descriptors DEC
- ANGULAR MOMENTUM; FIELD THEORIES; MATHEMATICAL LOGIC; MATHEMATICAL SPACE; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SPACE