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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
FUF020 - Quantum field theory
Syllabus adopted 2019-02-14 by Head of Programme (or corresponding)
Owner: MPPHS
7,5 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: Second-cycle
Major subject: Engineering Physics
Department: 16 - PHYSICS

Teaching language: English
Application code: 85114
Open for exchange students: Yes
Block schedule: B

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0105 Written and oral assignments 7,5 c Grading: TH   7,5 c    

In programs

MPPHS PHYSICS, MSC PROGR, Year 1 (compulsory elective)


Bengt E W Nilsson

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In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

Special relativity and quantum mechanics at the level of F3 courses.


The course gives an introduction to relativistic quantum field theory (QFT) and its most basic applications to particle physics. The student learns how to use QFT to describe relativistic particles of spin 0 (Klein-Gordon field), 1/2(Dirac field) and spin 1 (Maxwell field). We introduce Feynman rules with the purpose of computing cross sections and lifetimes. Most of the applications are within quantum electrodynamics but towards the end of the course, we will briefly touch upon more advanced theories such as quantum chromodynamics and the Standard Model.

Learning outcomes (after completion of the course the student should be able to)

After the successful completion of the course the student will be able to use QFT to derive the basic fundamental dynamical properties of the following processes:
Electron - electron scattering (Moeller scattering), electron - positron scattering (Bhabha scattering),
Compton scattering, muon and hadronic production in electron - positron annihilation.

Besides the above specific processes the student will have reached a level of knowledge where he or she will be able to derive Feynman rules for more general processes and study their dynamics to leading order in perturbation theory. Some more advanced aspects like Yang-Mills theoires and loop corrections will also be discussed. The student will be well equipped for taking more advanced courses involving renormalization and radiative corrections.


Introduction, What is QFT? Spin 0, 1/2 and 1 fields, Perturbation theory, Scattering matrix, Feynman diagrams, Cross sections and lifetimes, Elementary processes in quantum electrodynamics (QED). Advanced topics like Yang-Mills theories and loop corrections.


The course is based on lectures mixed with specific examples and exercises.


An Introduction to Quantum Field Theory, Michael E. Peskin and Daniel V. Schroeder Addison-Wesley Advanced Book Program (now Perseus Books)(1995).

Examination including compulsory elements

Homework and final mandatory oral exam.

Page manager Published: Thu 04 Feb 2021.