course-details-portlet

FY8914

Quantum Field Theory I

Assessments and mandatory activities may be changed until September 20th.

Credits 7.5
Level Doctoral degree level
Course start Spring 2026
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement Written exam

About

About the course

Course content

Free scalar field theory, Green functions, symmetries and Noether's theorem, path integrals, Wick's theorem, Feynman diagrams, n-point correlators, interacting scalar field theory, regularization and renormalization, loop diagrams, effective couplings, Dirac equation and its solutions, Lorentz algebra, Quantization of Dirac field and its propagator, symmetries of the Dirac Lagrangian, Grassmann variables, fermionic path integrals, S-matrix, LSZ-reduction formula.

If time: the electromagnetic gauge field and its quantization, gauge field propagator, scalar QED, spontaneous symmetry breaking, Higgs mechanism

Learning outcome

The student is expected to obtain knowledge about the fundamental principles and formalisms of quantum field theories, and the use of Feynman diagrams for quantitative analysis of such. In particular, students are expected to obtain knowledge about path integrals, wave equations for scalar and general tensor fields, Feynman rules for scalar theories, loop diagrams, symmetries and the Noether theorem, the Dirac equation, Weyl and Majorana spinors, scattering processes, gauge theories, and renormalization and running couplings.

General competence: The candidate should be able to apply abstract mathematical models to concrete physical problems.

Learning methods and activities

Lectures and problem sessions. Expected workload in the course is 225 hours.

Joint lectures with FY3464.

Further on evaluation

Written exam.

Re-sit exam may be changed from written to oral.

Specific conditions

Admission to a programme of study is required:
Physics (PHFY)

Course materials

D. Bailin and A. Love, Introduction to Gauge Field Theory, Adam Hilger, Bristol A. Zee, Quantum Field Theory in a Nutshell, Princeton University Press. M. Kachelriess: Lecture notes for FY3464 and FY3466.

Credit reductions

Course code Reduction From
FY3464 7.5 sp Autumn 2017
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Theoretical Physics
  • Physics

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Physics

Examination

Examination

Examination arrangement: Written exam
Grade: Passed / Not Passed

Ordinary examination - Spring 2026

Written exam
Weighting 100/100 Examination aids Code C Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.

Re-sit examination - Summer 2026

Written exam
Weighting 100/100 Examination aids Code C Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.