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FSI3060 Quantum Field Theory 7.5 credits

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Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.


For course offering

Autumn 2023 Start 28 Aug 2023 programme students

Application code


Headings with content from the Course syllabus FSI3060 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Symmetries and the Noether's theorem. Path integral formulation of quantum mechanics. Functional integral formulation of quantum field theory. Introduction to perturbation theory for functional integrals. Introduction to renormalization and regularization. Abelian and non-Abelian gauge theories. Quantization of gauge theories. Quantum electrodynamics. Quantum chromodynamics. Anomalies in perturbation theory. Gauge theories with spontaneous symmetry breaking. Quantization of spontaneously broken gauge theories. Symmetry breaking and Goldstone's theorem. The BCS model. The Higgs mechanism. Mean-field theory and the Hartree-Fock method.

Intended learning outcomes

After completed course, the PhD student should be able to:

  • use functional integrals and perturbation theory in quantum field theory.
  • apply renormalization and regularization with quantum field theory.
  • have knowledge about gauge theories as well as quantum electrodynamics and quantum chromodynamics.
  • know spontaneously broken gauge theories as BCS theory and the Higgs model.

Literature and preparations

Specific prerequisites

Advanced Quantum Mechanics.
Relativistic Quantum Physics.

Recommended prerequisites

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  • L.S. Brown, Quantum Field Theory, Cambridge (1999)
  • M.E. Peskin and D.V. Schroeder, Introduction to Quantum Field Theory, Harper-Collins (1995)
  • Föreläsningsanteckningar

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F


  • INL1 - Assignments, 5.0 credits, grading scale: P, F
  • TEN1 - Oral exam, 2.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

Hand in assignments and an oral exam.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted


Mattias Blennow (

Postgraduate course

Postgraduate courses at SCI/Physics