Disordered Systems and the Functional Renormalization Group: A Pedagogical Introduction

Details Disordered Systems and the Functional Renormalization Group: A Pedagogical Introduction Disordered Systems and the Functional Renormalization Group: A Pedagogical Introduction

2002-05-07

arxiv.org/abs/cond-mat/0205116v1

Acta Physica Slovaca 52 (2002) 341

Physics

Condensed Matter

Plenary lecture held at RG-2002

Scientific paper

In this article, we review basic facts about disordered systems, especially the existence of many metastable states and and the resulting failure of dimensional reduction. Besides techniques based on the Gaussian variational method and replica-symmetry breaking (RSB), the functional renormalization group (FRG) is the only general method capable of attacking strongly disordered systems. We explain the basic ideas of the latter method and why it is difficult to implement. We finally review current progress for elastic manifolds in disorder.

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