Author: Vieri Mastropietro, university of Rome

Title: Developments in the theory of universality

Abstract: Recently a rigorous foundation of several aspects of the theory of universality for statistical mechanics models with continuously varying exponents (among which are interacting planar Ising models, quantum spin chains and 1D Fermi systems), has been reached; it has its root in the mapping of such systems into fermionic interacting theories, and uses the modern Renormalization Group methods developed in the context of constructive Quantum Field Theory. No use of exact solutions is done and the analysis applies either to solvable or not solvable models.