Random Hermitian matrices in an external field
نویسندگان
چکیده
منابع مشابه
Random hermitian matrices in an external field
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 asymptot...
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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 short-distance behavior is found to be identical to the one obtained in previously studied matrix models, thus extending the universality of the levelspacing distribution. The calcu...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1997
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(97)00307-6