Random matrix theory

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Abstract

In this chapter the Gaussian random matrix ensembles are investigated. We determine their Green’s functions and show that for small energy differences a soft mode appears. As a consequence, the non-linear sigma-model is introduced and the level correlations are determined.

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Random matrix theory. (2016). In Lecture Notes in Physics (Vol. 920, pp. 227–259). Springer Verlag. https://doi.org/10.1007/978-3-662-49170-6_21

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