Course: Introduction to the (functional) Renormalization Group by Alessandro Codello

Main topics

1. Fractals: the notion of dimension and the concept of self-similarity
2. RG view on probability and limit theorems
3. RG in a deterministic system: transitions to chaos for discrete deterministic maps
4. Continuos phase transitions in equilibrium statistical mechanics: RG analysis
5. Evaluating multiple integrals: the effective average action method
6. Ising universality classes from d=inf to d=1
7. O(N) universality classes in continuos dimension: from self-avoiding random walks to the spherical model passing by the Kosterlitz-Thouless transition