How universal is the Wigner distribution?

Details How universal is the Wigner distribution? How universal is the Wigner distribution?

2011-07-19

arxiv.org/abs/1107.3681v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; references added

Scientific paper

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.

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