Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 2: Statistical physics I (general)

DY 2.3: Vortrag

Montag, 25. Februar 2008, 11:00–11:15, MA 001

Comparison of arbitrary orthogonal, unitarily and unitary-symplectic invariant random matrix ensembles and supersymmetry — •Mario Kieburg and Thomas Guhr — University Duisburg-Essen, Faculty Physics, Theoretical Physics, research group Guhr

Supersymmetry is nowadays an indispensable tool for studies of models in mesoscopic physics and of random matrix models. It has been shown recently in [J.Phys. A39 (2006) 13191-13224] that the supersymmetry method can be generalized to arbitrary unitarily invariant random matrix ensembles. In this presentation we will extend this approach to the models of orthogonal and unitary-symplectic invariance. Connections and differences to the method of superbosonization presented in [arXiv:0707.2929v1, math-ph (2007)] will be discussed.