The Renormalization Group for Disordered Systems
Michele Castellana 

Both for spin glasses and structural glasses, the mean field theory of disordered systems provides a suggestive picture of laboratory glassy  phenomena as the reflection of an ideal thermodynamic phase transition. Notwithstanding this, the implementation of a renormalization group approach for such a disordered systems describing the glassy phase beyond
mean-field is still missing.

In this seminar, we will present our work on a particular class of non-mean field disordered models called hierarchical models,  for which a renormalization group transformation can be implemented explicitly.

Our results will be presented with a view to understanding the physics of the spin-glass phase in finite dimension, and to implementing  a real space renormalization group approach for realistic non-mean field models, as opposed to the ordinary field-theoretical approaches based on the replica method.