Deo, Nivedita (1996) Crossover eigenvalue correlators using Dyson-Schwinger loop equations. In: Nuclear Physics B, 464 (3). pp. 463-471.
PDF
Crossover.pdf Restricted to Registered users only Download (378kB) | Request a copy |
Abstract
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 |
Actions (login required)
View Item |