Holger Gies

Physics of Scales

Holger Gies, SoSe 2024

Lectures: Thursday 10-12, SR102, Abbeanum

Tutorials: take place in the form of short essays.
First Event: Lecture on Thursday, 1st week of terms

Course organization

• The module registration proceeds via Friedolin according to the standard regulations.
• 4 ECTS requires the preparation of a short essay on an advanced topics, see Moodle.
• The form of the module examination (written exam or oral examination) depends on the number of participants and takes place by the end of or after the lecture course. Details will be announced on Moodle.

Literature

• Handwritten Lecture Notes (mostly in German) as PDF Scans:
  • 1 Introduction
  • 2.1 Basics of quantum field theory & 2.2 Divergencies in perturbation theory
  • 2.3 Divergencies in perturbation theory: general analysis & 2.4 Classification of perturbatively renormalizable theories
  • 2.3 Divergencies in perturbation theory: general analysis & 2.4 Classification of perturbatively renormalizable theories
  • 2.6 Homogeneous RG equations
  • 3. Critical phenomena, 3.1 Introduction and examples, 3.2 Critical exponents, 3.3 Ising model (1D)
  • 3.3 Block-Spin Transformations
  • 3.4 RG scaling
  • 4 Renormalization flow 4.1 Wilson’s approach to renormalization theory, 4.2 Asymptotic safety
  • 4.3 Exact RG flow and flow equation, 4.4 “Perturbatively non-renormalizable but non-perturbatively renormalizable systems
  • 4.4b The quantum mechanical Anharmonic Oscillator (as an example for the use of the flow equation for nonperturbative problems)
  • 4.4.3 Quantum Einstein Gravity?