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Crossover eigenvalue correlators using Dyson-Schwinger loop equations

Deo, Nivedita (1996) Crossover eigenvalue correlators using Dyson-Schwinger loop equations. In: Nuclear Physics B, 464 (3). pp. 463-471.

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The coupled two-matrix model is studied in the case of one of the matrices belonging to the orthogonal ensemble and the other one belonging to the unitary ensemble, using the Dyson- Schwinger equations or loop equations. The loop equations form an infinite hierarchy which becomes a closed set of algebraic equations in the large-N limit. This allows for the determination of correlation functions of loop operators and the eigenvalue correlators of the model. In particular, we determine the density-density correlators relevant in models of quantum chaos where crossover from one symmetry class to another occurs. The method gives smoothed global correlators.

Item Type: Journal Article
Publication: Nuclear Physics B
Publisher: Elsevier
Additional Information: Copyright of this article belongs to Elsevier.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 17 Jan 2007
Last Modified: 19 Sep 2010 04:33
URI: http://eprints.iisc.ac.in/id/eprint/9330

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