Random Hermitian matrices in an external field
Abstract
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 = Ntr( 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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)003076
 arXiv:
 arXiv:condmat/9703033
 Bibcode:
 1997NuPhB.497..725Z
 Keywords:

 Condensed Matter
 EPrint:
 10 pages, TeX, using phyzzx macros