A microscopic implementation of non Functional Renormalization Group in classical and quantum models
Alberto Parola, Universita’ dell’Insubria, Como, Italy
A general framework for implementing the Renormalization Group ideas to microscopic models in classical and quantum statistical physics is presented. The method, referred to as HRT, is devised so to retain information on non universal properties throughout the renormalization process by avoiding any coarse-graining procedure and the mapping onto effective models. Different implementations of HRT are briefly reviewed pointing out the close relationship with non-perturbative renormalization group methods. The critical properties of HRT for a O(n) order parameter are summarized, together with the behavior of the theory at first-order phase transitions. Applications to simple microscopic models in classical and quantum statistical physics, both on and off lattice, are discussed.