Smoothed Correlators For Symmetric Double-Well Matrix Models: Some Puzzles and Resolutions

dc.creatorBrezin, E.
dc.creatorDeo, N.
dc.date1998-05-08
dc.date.accessioned2026-07-25T23:40:57Z
dc.descriptionSome puzzles which arise in matrix models with multiple cuts are presented. They are present in the smoothed eigenvalue correlators of these models. First a method is described to calculate smoothed eigenvalue correlators in random matrix models with eigenvalues distributed in a single-cut, previous known results are reproduced. The method is extended to symmetric two-cut random matrix models. The correlators are written in a form suitable for application to mesoscopic systems. Connections are made with the smooth correlators derived using the Orthogonal Polynomial (OP) method. A few interesting observations are made regarding even and odd density-density correlators and cross-over correlators in $Z_2$ symmetric random matrix models.
dc.description20 pages Latex, three postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9805096
dc.identifierhttp://arxiv.org/abs/cond-mat/9805096
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/100569
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleSmoothed Correlators For Symmetric Double-Well Matrix Models: Some Puzzles and Resolutions
dc.typetext

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