Universality of Correlation Functions of Hermitian Random Matrices in an External Field
Abstract
The behavior of correlation functions is studied in a class of matrix models characterized by a measure exp(S) containing a potential term and an external source term: S=N tr(V(M) MA). In the large N limit, the shortdistance behavior is found to be identical to the one obtained in previously studied matrix models, thus extending the universality of the levelspacing distribution. The calculation of correlation functions involves (finite N) determinant formulae, reducing the problem to the large N asymptotic analysis of a single kernel K. This is performed by an appropriate matrix integral formulation of K. Multimatrix generalizations of these results are discussed.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1998
 DOI:
 10.1007/s002200050372
 arXiv:
 arXiv:condmat/9705044
 Bibcode:
 1998CMaPh.194..631Z
 Keywords:

 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 29 pages, TeX