Field theory and the physics of disordered systems

TL;DR

This paper discusses the challenges of analyzing disordered systems using field theory, highlighting non-perturbative effects and proposing a promising approach with fat diagrams for better understanding.

Contribution

It introduces a new approach based on fat diagrams to address non-perturbative difficulties in the field theory analysis of disordered systems.

Findings

Standard renormalization group methods face limitations due to non-perturbative effects.

Fat diagrams offer a promising alternative for studying disordered systems.

The approach applies to ferromagnets in random fields, localized electrons, growth models, and spin glasses.

Abstract

In this talk I will present some of the main difficulties we encounter in studying the large scale behavior of disordered systems. This presentation will be done using a field theory language. The difficulties in applying the standard renormalization group approach are due to the presence of strong non-perturbative effects that we do not know how to master. These difficulties are particular acute in the case of ferromagnets in random field, localized electrons, growth models and spin glasses. I will review the situation presenting at the end a promising approach based on fat diagrams.