40516 Dyson Schwinger Equations and quantization of gauge theories

This course qualifies as P25.1a or P25.1b in the Physics Curriculum and as M35 in the Math Curriculum


The course will be taught in the summer term by Prof. Dirk Kreimer.

The course starts Monday, April 12

This will be an online course (Zoom)
Here is the Moodle link.

The link for that will be published on the moodle page in the announcements section.
The keyphrase to inscribe via Moodle is ‘Landau’. There was a problem with Moodle but it works since March 17.


Lecture time Exercises and discussion Independent tutorial
Mo 11 – 13, (RUD 25, 1’012)ZOOM! Tue 15 – 17, (RUD 25, 1’012)Zoom!
(alternating between lectures and exercises)
tbd, (RUD 25, tbd)ZOOM!


Oral exams (zoom):
Physics: July 13 or 14, or August 11 or 12.
Math: July 13 or August 23.
You have to register at least two weeks in advance with the correspnding office (Prüfungsamt).


Anatomy of a gauge theory
Quantization of gauge fields, graph polynomials and graph homology
Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology
An Étude in non-linear Dyson-Schwinger Equations

Lecture Notes (script of summer 2013)

Skript (update: October 11th 2013)

Lecture April 12
Lecture April 13
Lecture April 19
Lect/Exerc April 20
Lect/Exerc April 20
Literature for first two weeks:
Hopf algebras in renormalization…
Étude for linear DSEs
An Étude in non-linear DSEs

Lect April 26

annotated paper April 26

Lect April 27

annotated paper April 26

Lect May 03

Literature paper by Loic Foissy

Literature Dunne et al Yukawa

Literature Dunne et al phi^3

Lect May 04

Literature paper by Henry Kissler and DK

Literature Walter van Suijlekom on QED

Lect May 10
Lect May 11
Lect May 17

LiteratureMay 17
LiteratureMay 17

Lect May 18

LiteratureMay 18
LiteratureMay 18

Reading exercise May 25
Lect May 31

LiteratureMay 31

Lect June 01
Literature June 01
Lect June 07
Literature June 07 Knispel Berghoff

Literature June 07 Standard Model corolla

Literature June 07 QED

Lect June 08

Lect June 14

Lect June 15
Literature June 15

Lect June 21

Lect June 22

Lect June 28

Lect June 29

Lect July 05

Lect July 06

Old Exercises (do them as training!)

Sheet Download Discussion
Exercise June 04 2019
pdf 25.06.2019

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