Universal spectral correlation between hamiltonians with disorder II |
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| Institution: | 1. Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106-4030, USA;2. Laboratoire de Physique Théorique École Normale Supérieure, 24 Rue Lhomond, 75231 Paris, France;1. IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria;2. University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany;1. CNRS, Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France;2. Department of Mathematics & Statistics, Queens University, Jeffery Hall, 48 University Avenue, Kingston, ON K7L 3N6, Canada;3. Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland;4. Universität des Saarlandes, Fachrichtung 6.1 – Mathematik, Postfach 151150, 66041 Saarbrücken, Germany |
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| Abstract: | We calculate the cross-correlation function between the eigenvalues of two random hermitian matrices taken from separate gaussian ensembles. In the limit of large matrices the correlation, when suitably smoothed, reproduces a previous result obtained by diagrammatic methods. Unlike previous results, however, this unsmoothed correlation function may be studied at short distances. |
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