How universal is the Wigner distribution?
High Energy Physics - Theory
2015-05-28 v2 Statistical Mechanics
Probability
Data Analysis, Statistics and Probability
Applications
Abstract
We consider Gaussian ensembles of m N x N complex matrices. We identify an enhanced symmetry in the system and the resultant closed subsector, which is naturally associated with the radial sector of the theory. The density of radial eigenvalues is obtained in the large N limit. It is of the Wigner form only for m=1. For m \ge 2, the new form of the density is obtained.
Cite
@article{arxiv.1107.3681,
title = {How universal is the Wigner distribution?},
author = {Mthokozisi Masuku and João P. Rodrigues},
journal= {arXiv preprint arXiv:1107.3681},
year = {2015}
}
Comments
16 pages; references added