Juan Ruiz-Lorenzo - Numerical characterization of the spin glass phase: a historical account

I will review different works regarding the characterization of the phase transition in the three dimensional Edwards-Anderson model in absence of a magnetic field. Furthermore, I will describe properties of the associated low temperature spin glass phase which can be understood using the framework of the Replica Symmetry Breaking (RSB) theory. Hereafter, I will discuss the appearance or not of RSB in finite dimensional spin glasses (three and four dimensions) in presence of a magnetic field. Finally, I will point out some open problems.

40 years of Replica Symmetry Breaking
10-13 September 2019, Rome