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.
SI2410 Quantum Field Theory 7.5 credits
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"Quantum Field Theory" is a course in which one should learn functional integral formalisms for quantum field theories. In addition, important examples of quantum field theoretical models in particle physics and condensed matter physics will be discussed. The concepts of renormalization and regularization in quantum field theory will be described and the idea of effective models will be mentioned.
About course offering
For course offering
Autumn 2024 Start 26 Aug 2024 programme students
Target group
No information insertedPart of programme
Master's Programme, Engineering Physics, åk 2, TFYA, Conditionally Elective
Periods
P1 (7.5 hp)Duration
Pace of study
50%
Form of study
Normal Daytime
Language of instruction
English
Course location
AlbaNova
Number of places
Places are not limited
Planned modular schedule
Course memo
Course memo is not publishedSchedule
Link to scheduleApplication
For course offering
Autumn 2024 Start 26 Aug 2024 programme students
Application code
51577
Contact
For course offering
Autumn 2024 Start 26 Aug 2024 programme students
Contact
Sandhya Choubey (choubey@kth.se)
Examiner
No information insertedCourse coordinator
No information insertedTeachers
No information insertedContent and learning outcomes
Course contents
Intended learning outcomes
After completion of the course you 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
English B / English 6
Recommended prerequisites
Advanced Quantum Mechanics.
Relativistic Quantum Physics.
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- INL1 - Assignments, 4.5 credits, grading scale: A, B, C, D, E, FX, F
- TEN1 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, 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 (INL1; 4.5 hp) and an oral exam (TEN1; 3 hp).
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
No
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.