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Course Description

The course "Quantum Field Theory" is designed to provide students with a comprehensive understanding of functional integral formalisms for quantum field theories. The course covers important examples of quantum field theoretical models in particle physics and condensed matter physics, including the concepts of renormalization and regularization in quantum field theory. The idea of effective models is also introduced.

Information per Course Offering

The course is offered in the autumn semester, with specific information available for each course offering, including course syllabus, study period, and application information.

Information for Autumn 2026 Start

• Course location: AlbaNova
• Duration: 24 August 2026 - 23 October 2026
• Periods: Autumn 2026: P1 (7.5 hp)
• Pace of study: 50%
• Application code: 51212
• Form of study: Normal Daytime
• Language of instruction: English
• Course memo: Not published
• Number of places: Not limited
• Target group: No information inserted
• Planned modular schedule: No information inserted
• Schedule: Available through a link
• Part of programme: Master's Programme, Engineering Physics, year 2, TFYA

Course Staff

• Examiner: Sandhya Choubey
• Course coordinator: Sandhya Choubey
• Teachers: Sandhya Choubey

Course Syllabus

The course syllabus is available in an accessible format on the course page. Headings with content from the Course syllabus 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 completion of the course, students 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
• Special Relativity

Literature

Information about course literature is available in the course memo for the course offering or in the course room in Canvas.

Examination and Completion

Grading Scale

• A, B, C, D, E, FX, F

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

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 (INL1; 4.5 hp) and an oral exam (TEN1; 3 hp)

Examiner

• Sandhya Choubey

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.

Offered by

• SCI/Undergraduate Physics

Main Field of Study

• Physics

Education Cycle

• Second cycle