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.
FSI3060 Quantum Field Theory 7.5 credits
Information per course offering
Course offerings are missing for current or upcoming semesters.
Course syllabus as PDF
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Course syllabus FSI3060 (Spring 2019–)Headings with content from the Course syllabus FSI3060 (Spring 2019–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
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.
Literature
- 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
Grading scale
P, F
Examination
- 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.
If the course is discontinued, students may request to be examined during the following two academic years.
Other requirements for final grade
Hand in assignments and an oral exam.
Examiner
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
Education cycle
Third cycle