**Winter term 2017/2018:**

and High-Energy Physics

**Time:** Wednesdays 16:00 - 17:30 (Starting on October 11, 2017)

**Place:** 321 Seminarraum Theorie

**Practice groups:** Wednesdays 17:45 -

**Contact:** scherer@thp.uni-koeln.de

**KLIPS2.0:** Lecture - Details

In the lecture course I will give an introduction to the theory of the renormalization group. The renormalization group provides a connection between different physical theories on different scales and constitutes one of the basic concepts in theoretical physics. It is also a very powerful tool for the study of systems with many interacting degrees of freedom. The aim of the course is to introduce the main concepts and computational tools of the Renormalization Group. I will also cover some more formal aspects. Further, a range of applications of the renormalization group will be discussed touching many fields of physics such as solid state theory (high-temperature superconductors,...), condensed matter physics (cold atoms, Bose-Einstein condensation,...) and particle physics (QCD phase diagram, gravity,...).

**Contents**

- Perturbative quantum field theory: regularisation, perturbative renormalization, classification of perturbatively renormalizable theories.

- Callan-Symanzik equations, homogeneous RG equations, proof of perturbative renormalizability

- beta functions, Landau poles and asymptotic freedom

- Functional Renormalization Group and its applications to phase transitions and critical phenomena

- Quantum field theories in the ultraviolet limit (asymptotic safety).

**Literature**

- J. Cardy, Scaling and Renormalization in Statistical Physics, Cambridge Lecture Notes in Physics.

- I. Herbut, A Modern Approach to Critical Phenomena, Cambridge University Press.

- J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford University Press.

- P. Kopietz, L. Bartosch, F. Schütz, Introduction to the Functional Renormalization Group, Lecture Notes in Physics 798.

Introduction to Renormalization Group Theory (handwritten lecture notes, 2014)

Winter term 2016/2017: Tutorial on Quantum Field Theory (Heidelberg University)

Winter term 2015/2016: Seminar on Quantum Mechanics (Heidelberg University)

Summer term 2015: Tutorial on Condensed Matter Theory (Heidelberg University)

Winter term 2014/2015: Lecture course on Renormalization Group Theory (Heidelberg University)

Summer term 2014: Seminar on Renormalization Group Theory (Heidelberg University)

February/March 2014: Lecture course on Quantum mechanics in a nutshell (AIMS South Africa)

Winter term 2013/2014: Lecture course on Renormalization Group Theory (Heidelberg University)