Random Matrix Theory by the Supersymmetry Method Beyond the Sigma-Model

Details Random Matrix Theory by the Supersymmetry Method Beyond the Sigma-Model Random Matrix Theory by the Supersymmetry Method Beyond the Sigma-Model

1996-02-29

arxiv.org/abs/cond-mat/9602156v2

Physica A242 (1997) 258-280

Physics

Condensed Matter

LaTeX, 30 pages, to appear in Physica A

Scientific paper

The leading correction to the smoothed connected energy density-density correlation function is obtained for the large energy difference, within the context of the Gaussian Random Matrix Theory. In order to achieve this result, the supersymmetry method is extended beyond the sigma-model, to include small quadratic fluctuations around the saddle point. Special care is taken to avoid the potential divergence arising from the unbounded nature of the saddle point. Also, in the small energy difference regime, the leading correction to a two point correlation function is obtained.

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