Lecture Series by Prof. Jean Bricmont

"Introduction to the Renormalization Group"

"Introduction to the Renormalization Group"

April 7 - 16, 2014

**Lecturer:** Prof. Jean Bricmont (UC Louvain)

**Office:** B216

**Summary of the course:**

The ideas of the Renormalization Group have had many applications in physics and mathematics. They were first introduced in order to solve two seemingly unrelated problems: the ultraviolet divergences in quantum field theory and the behavior of lattice spin systems near their critical points. The goal of these lectures will be to explain how the Renormalization Group ideas allow us to solve, in principle, both of these problems and to show how they are related. I will start by reviewing basic results in lattice spin systems and lattice quantum field theories and then explain how to implement the Renormalization Group transformation in those models leading to an understanding, at least qualitatively, of the ultraviolet divergences and critical point problems.

**Date:** April 7 - 16, 2014

**Time:** 16:15 - 19:00

**Credit:** It is possible to get a "Schein" (3 ECTS). If you are interested, please send an email to petrat@math.lmu.de. There will be a brief oral exam towards the end of the course.

Date |
Room |
Title |
---|---|---|

B 139 |
||

Thu, April 10, 10:30 - 12:00 |
B 004 |
Question session and background material |

A 027 |
||

B 139 |

**Lecture notes:**

- Antti Kupiainen - Introduction to the Renormalization Group
- Salvador Miracle-Sole - A Lecture on cluster expansions
- Notes - 1d Ising model
- Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations

The lecture series is co-sponsored by TMP.