Random matrix theory by the supersymmetry method beyond the sigma-model

Vladan Lučić

Physica A: Statistical Mechanics and its Applications, 1997, vol. 242, issue 1, 258-280

Abstract: 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.

Keywords: Random matrix theory; Supersymmetry; Correction (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:242:y:1997:i:1:p:258-280

DOI: 10.1016/S0378-4371(97)00209-4

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