Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Statistical physics I (general)

DY 1.7: Talk

Monday, March 23, 2009, 12:15–12:30, HÜL 386

Arbitrary rotation invariant random matrix ensembles and supersymmetry — •Mario Kieburg and Thomas Guhr — Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany

The supersymmetry method is an essential tool for studies in random matrix theory and mesoscopic physics. Recently, this method was generalized from Gaussian ensembles to arbitrary rotation invariant matrix ensembles in two different approaches, the generalized Hubbard-Stratonovitch transformation [J.Phys. A39 (2006) pp. 13191] and the superbosonization formula [Commun. Math. Phys. 283 (2008) pp. 343]. In this presentation, we will demonstrate connections and differences of both approaches and their results for all symmetry classes of O(N), U(N) and USp(N) rotation invariance.