Some considerations of finite-dimensional spin glasses

In this paper I will review the theoretical results that have been obtained for spin glasses, paying particular attention to finite-dimensional spin glasses. I will concentrate my attention on the formulation of the mean-field approach and on its numerical and experimental verifications. I will mainly consider equilibrium properties at zero magnetic field, where the situation is clear and it should not be controversial. I will present the various hypotheses on the basis of the theory and I will discuss their physical status.