Published March 28, 2003
| Version v1
Journal article
On some integrals over the U(N) unitary group and their large N limit
Creators
- 1. Laboratoire de Physique Theorique et Modeles Statistiques, Universite Paris-Sud, Batiment 100, F-91405 Orsay Cedex (France)
- 2. Service de Physique Theorique de Saclay, CEA/DSM/SPhT, Unite de recherche associee au CNRS, CEA-Saclay, F-91191 Gif sur Yvette Cedex (France)
Description
The integral over the U(N) unitary group I = ∫ DU exp Tr AU BU† is re-examined. Various approaches and extensions are first reviewed. The second half of the paper deals with more recent developments: relation with integrable Toda lattice hierarchy, diagrammatic expansion and combinatorics, and what they teach us on the large N limit of log I
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/3173/a31218.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/3173/a31218.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)53470-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 12
- Journal Page Range
- p. 3173-3193
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042236
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; GROUP THEORY; INTEGRAL CALCULUS; MATHEMATICAL LOGIC; SET THEORY; THERMODYNAMICS; UNITARY SYMMETRY
- Descriptors DEC
- MATHEMATICS; SYMMETRY