The official home page for the course is at http://www.thep.lu.se/english/education/courses/introduction_to_quantum_field_theory
Quantum Field Theory
FYTN10, 7.5 hp
This homepage was for the 2013 course.
You can find the homepage of the 2014 course here
This is a 7.5 hp course on Quantum Field Theory.
It is an introductory course covering essentially the first six chapters
of the book by Peskin and Schroeder (see below).
The course is scheduled for the first part of the semester (January 21 to March 24).
This course introduces the theoretical concepts, based on quantum mechanics and the
special theory of relativity, needed to describe relativistic particles
and their interactions. The course starts out with the Klein-Gordon and
Dirac field equations, describing free scalar particles and fermions
respectively, and their quantization. It is then shown how interactions
can be included in perturbation theory and how they can be described
through Feynman diagrams.
These techniques are then applied mainly to calculate tree-level
processes in quantum electrodynamics. The course ends with a short
introduction to higher order processes and radiative corrections.
Quantum mechanics (especially time-dependent perturbation theory) at a level corresponding to FYTA12 (fundamental theoretical physics) or FYSN17 (quantum mechanics) as well as more in-depth knowledge corresponding to at least one of the courses
FYTN04 (theoretical particle physics) or FYST37 (modern quantum mechanics). In addition FYTN01 (mathematical methods of physics) is recommended.
The course will consist of approximately 20 lectures (2x45min)
and 4-5 problem solving sessions.
The course will start on January 21 and then continue
with 2-4 sessions per week until March 22. The introductory meeting will be 13-15 on January 21
and then the lectures will be as follows with tentative subjects
| Date ||Time||Place||Subject ||Peskin and Schroeder|| Hand-in exercise|
| Mon 21/1 || 13-15||Sal NB|| Introduction || || |
| Wed 23/1 || 10-12||Sal NB|| Classical field theory, Noether's theorem || Chapter 2.1-2.2 || |
| Fri 25/1 || 13-15||Sal NB|| Klein-Gordon field, causality and progator || Chapter 2.3-2.4 (7.1) || |
| Mon 28/1 || 13-15||Sal NB|| Perturbation theory and Correlation fcn's || Chapter 4.1-4.2 || |
| Wed 30/1 || 10-12||Sal NB|| Problems chapter 2 || - || nr 1 |
| Fri 1/2 || 13-15||Sal NB|| Wick's theorem, Feynman diagrams || Chapter 4.3-4.4 || |
| Mon 4/2 || 13-15||Sal NB|| Cross-sections || Chapter 4.5 || |
| Wed 6/2 || 10-12||Sal NB|| S-matrix from Feynman diagrams || Chapter 4.6 (7.2)|| |
| Fri 8/2 || 13-15||Sal NB|| Dirac field, Weyl representation || Chapter 3.1-3.2 || nr 1 due |
| Mon 11/2 || 13-15||Sal NB|| Free particle solutions, Dirac bilinears || Chapter 3.3-3.4 || |
| Thu 14/2 || 10-12||Sal NB|| Problems chapter 4.1-4.6 || - || nr 2 |
| Fri 15/2 || 13-15||Sal NB|| Quantization of Dirac Field || Chapter 3.5 || |
| Mon 18/2 || 13-15||Sal NB|| Discrete symmetries of Dirac Field || Chapter 3.6 || |
| Wed 20/2 || 10-12||Sal NB|| Feynman rules for fermions || Chapter 4.7 || nr 2 due |
| Fri 22/2 || 13-15||Sal NB|| Yukawa theory and QED || Chapter 4.8 || |
| Mon 25/2 || 13-15||Sal NB|| e+e- -> mu+mu-: introduction || Chapter 5.1 || |
| Wed 27/2 || 10-12||Sal NB|| Problems chapter 3 and 4.7-4.8 || - || nr 3 |
| Fri 1/3 || 13-15||Sal HUB|| e+e- -> mu+mu-: helicity structure || Chapter 5.2 || |
| Mon 4/3 || 13-15||Sal NB|| Non-relativistic limit, Crossing symmetry || Chapter 5.3-5.4 || |
| Wed 6/3 || 10-12||Sal NB|| Compton scattering || Chapter 5.5 || nr 3 due |
| Fri 8/3 || 13-15||Sal NB|| Bremsstrahlung and electron vertex correction || Chapter 6.1-6.2 || |
| Mon 11/3 || 13-15||Sal NB|| Problems chapter 5 || - || nr 4 |
| Wed 13/3 || 10-12||Sal NB|| Electron vertex correction: UV and infrared divergences || Chapter 6.3-6.4 || |
| Fri 15/3 || 13-15||Sal NB|| Summation and interpretation of infrared divergences || Chapter 6.5 || |
| Mon 18/3 ||10-12 ||Sal NB|| Renormalisation and outlook || Chapter 7 || nr 4 due |
| Wed 20/3 || 10-12||Sal NB|| Question and Answer session || || |
| Thu 21/3 || - || - || Oral exams || || |
| Fri 22/3 || - || - || Oral exams || || |
Download problems for chapter 2 here
Download problems for chapter 4.1-4.6 here
Download problems for chapter 3 and 4.7-4.8 here
Download problems for chapter 5 here
The examination will be in the form of hand-in exercises, active participation in problem solving sessions and an oral examination at the end of the course.
The starting point for the oral exam is your solutions to the hand-in exercises. In addition it is assumed that you have done and understood all the problems for the problem solving sessions. Finally, regarding the higher order corrections you should have an overall understanding of the origin of real and virtual corrections, why they are divergent, and how these divergencies are dealt with both technically and physically. You can find some examples of questions on radiative corrections here.
I have also to put together a more general list of questions that indicate the level I expect for the oral exam.
Note: You have to have completed all hand-in exercises successfully before the oral exam.
To help us improve our courses we want you to complete a course evaluation after the examination. The evaluation is fully web-based and anonymous. The form to be filled will be made available
Results from earlier years: spring 2011 , spring 2012
The main book will be
As side-literature, any of the following books can be recommended:
M. E. Peskin and D. V. Schroeder,
An Introduction to Quantum Field Theory,
1995 (ISBN 0201503972), chapter 1-6
- F. Mandl, G. Shaw, Quantum Field Theory
- T. Banks, Modern Quantum Field Theory
Here you can find
the FORM program and here
is a program for calculating the leading order contribution to F2 in QED
you can find video recordings of QFT lectures given by Sidney Cooleman at Harvard.
Please contact Johan Rathsman, Johan.Rathsman (at) thep.lu.se, 046-2223495