Seminari del Dipartimento di Matematica

Seminario del 2019

Francesco Guerra

The replica trick in the frame of the interpolation scheme

nel ciclo di seminari: MATHEMATICAL PHYSICS OF DISORDERED SYSTEMS

fisica matematica

We give a short review about the replica trick in the frame of a simple interpolation scheme on the number of replicas. In this way we avoid any problem with analytic continuation and recognise that replica symmetry breaking is in fact characterised by a phase transition. We give application of the method to the case of the Random Energy Model, and the Sherrington-Kirkpatrick mean field spin glass model.