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Density of states for GUE, GOE, and interpolating ensembles through supersymmetric approach

Authors
  • Shamis, Mira
Type
Preprint
Publication Date
Nov 13, 2013
Submission Date
Jul 14, 2013
Identifiers
arXiv ID: 1307.3698
Source
arXiv
License
Yellow
External links

Abstract

We use the supersymmetric formalism to derive an integral formula for the density of states of the Gaussian Orthogonal Ensemble, and then apply saddle-point analysis to give a new derivation of the 1/N-correction to Wigner's law. This extends the work of Disertori on the Gaussian Unitary Ensemble. We also apply our method to the interpolating ensembles of Mehta--Pandey.

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