Functional Renormalization Group

by A. Codello, A. Trombettoni & N. Defenu (2 credits)

Main topics

Fractals: the notion of dimension and the concept of self-similarity

RG view on probability and limit theorems

RG in a deterministic system: transitions to chaos for discrete deterministic maps

Continuos phase transitions in equilibrium statistical mechanics: RG analysis

Evaluating multiple integrals: the effective average action method

Ising universality classes from d=inf to d=1

O(N) universality classes in continuos dimension: from self-avoiding random walks to the spherical model passing by the Kosterlitz-Thouless transition

Lecture notes