Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/484
Title: | Universality of random matrices in the microscopic limit and the Dirac operator spectrum |
Authors: | Akemann, G Damgaard, PH Magnea, U Nishigaki, SM |
Issue Date: | 1996 |
Publisher: | Elsevier Science |
Citation: | Nucl.Phys. B487(1997): 721-738 |
Abstract: | We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal polynomials into a Bessel equation governing the local asymptotics around the origin. The possible physical interpretation as the universality of the soft spectrum of the Dirac operator is briefly discussed. |
URI: | http://bura.brunel.ac.uk/handle/2438/484 |
DOI: | http://dx.doi.org/10.1016/S0550-3213(96)00713-4 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Universality of random.pdf | 192.33 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.