Random hermitian matrices in an external field

Details Random hermitian matrices in an external field Random hermitian matrices in an external field

1997-03-03

arxiv.org/abs/cond-mat/9703033v2

Nucl.Phys. B497 (1997) 725-732

Physics

Condensed Matter

10 pages, TeX, using phyzzx macros

Scientific paper

10.1016/S0550-3213(97)00307-6

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.

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