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|
|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|
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