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- W2013348689 abstract "Some 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 method. A few interesting observations are made regarding even and odd density-density correlators and crossover correlators in ${Z}_{2}$ symmetric random matrix models. A symmetry breaking parameter C is identified in the smooth correlators for all ensuremath{beta}=1, 2, and 4." @default.
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- W2013348689 modified "2023-09-26" @default.
- W2013348689 title "Correlations and symmetry breaking in gapped matrix models" @default.
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- W2013348689 doi "https://doi.org/10.1103/physreve.59.3901" @default.
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