Heidelberg 2022 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantum dynamics

MP 3.3: Invited Talk

Tuesday, March 22, 2022, 12:00–12:30, MP-H5

Color-Flavor Transformation Revisited — •Martin Zirnbauer — Institute for Theoretical Physics, Uni Köln, Germany

The "color-flavor transformation", conceived as a kind of generalized Hubbard-Stratonovich transformation, is a variant of the Wegner-Efetov supersymmetry method for disordered electron systems. Tailored to quantum systems with disorder distributed according to the Haar measure of any compact Lie group of classical type (A, B, C, or D), it has been applied to Dyson's Circular Ensembles, random-link network models, quantum chaotic graphs, disordered Floquet dynamics, and more. We review the method and, in particular, explore its limits of validity and some implications for the theory of Anderson localization-delocalization transitions.