Field theory and the physics of disordered systems

Details Field theory and the physics of disordered systems Field theory and the physics of disordered systems

2012-01-27

arxiv.org/abs/1201.5813v1

PoS HRMS2010:023,2010

Physics

Condensed Matter

Disordered Systems and Neural Networks

"Quarks, Strings and the Cosmos" - Hector Rubinstein Memorial Symposium

Scientific paper

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.

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