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MP: Theoretische und Mathematische Grundlagen der Physik

MP 3: Funktionalintegral-Methode, Endliche Quantensysteme

MP 3.2: Fachvortrag

Tuesday, March 25, 2003, 15:30–16:00, F309

The Method of Gaussian Equivalent Representation: A New Technique for Reducing the Sign Problem of Functional Integral Methods — •Stephan Alexander Baeurle — Institut für Physikalische und Theoretische Chemie, Universität Regensburg, Universitätstr.-31, D-93053 Regensburg, Germany

In this presentation we report on the specific features of the sign problem in the classical auxiliary field methodology and the strategies employed for its alleviation. In particular we focus on a new technique based on the method of Gaussian equivalent representation of Efimov et al. with which we could ameliorate the convergence properties significantly ( S.A. Baeurle, Phys. Rev. Lett. 89, 080602 (2002) ). We believe that this technique can also provide an interesting possibility to reduce the sign problem of other methods of computer simulation based on a functional integral approach.