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Lecture Series by Prof. Jean Bricmont

"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
Mon, April 7, 16:15 - 19:00
B 006
Introduction: RG for PDE's
Tue, April 8, 16:15 - 19:00
B 006
High and low temperature Ising models
Wed, April 9, 16:15 - 19:00
B 139
Ginzburg Landau theory and perturbation theory
Thu, April 10, 10:30 - 12:00
B 004
Question session and background material
Thu, April 10, 16:30 - 17:30
A 027
Kolloquiumsvortrag: From the microscopic to the macroscopic world
Fri, April 11, 16:15 - 19:00
B 006
RG I
Mon, April 14, 16:15 - 19:00
B 006
RG II
Tue, April 15, 16:15 - 19:00
B 006
RG III
Wed, April 16, 16:15 - 19:00
B 139
RG IV

Lecture notes:


The lecture series is co-sponsored by TMP.