FM 3-2010

Authors: Vieri Mastropietro

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 one dimensional 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. A review of such developments will be given here.

Keywords: Universality, Ward identities, renormalization group

Vieri Mastropietro
Dipartimento di Matematica
Università di Roma Tor Vergata
V.le della Ricerca Scientifica 1, 00133 Roma - Italy
e-mail: mastropi AT mat DOT uniroma2 DOT it