Published July 28, 1997
| Version v1
Journal article
Random Hermitian matrices in an external field
Creators
- 1. Ecole Normale Superieure, 75 - Paris (France). Lab. de Physique Theorique
Description
In this article, a model of random Hermitian matrices is considered, in which the measure exp (-S) contains a general U(N)-invariant potential and an external source term: S=N tr(V(M)+MA). The generalization of known determinant formulae leads to compact expressions for the correlation functions of the energy levels. These expressions, exact at finite N, are potentially useful for asymptotic analysis. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 497
- Journal Issue
- 3
- Journal Page Range
- p. 725-732.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 28057651
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CORRELATION FUNCTIONS; EIGENVALUES; ENERGY LEVELS; HERMITIAN MATRIX; RANDOMNESS; U GROUPS
- Descriptors DEC
- FUNCTIONS; LIE GROUPS; MATRICES; SYMMETRY GROUPS