FYSS4515 Applied Quantum Field Theory (11 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Physics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028
Description
Path-integral quantization and Feynman rules through discretization of space time
- Generating functionals and Feynman rules without discretization, effective action
- Symmetries in the path-integral language, Schwinger-Dyson equations, Ward identities
- Quantum anomalies, Adler-Bell-Jackiw anomaly, Adler-Bardeen theorem
- Path integral for gauge fields, Faddeev-Popov trick, ghost fields, Haar measure
- Systematics of renormalization, renormalization conditions, renormalized perturbation theory, renormalization schemes, renormalization of QED to one loop, 2-loop calculations
- Renormalization group equations and their solutions, beta functions, scale dependence of coupling constants and masses
- Wilson's approach to renormalization
- Quantum Chromodynamics, SU(3) symmetry, QCD Feynman rules, Bechhi-Rouet-Stora transformation, Slavnov-Tayloer identities, gauge invariance, renormalization of QCD to one loop, asymptotic freedom
- Weak interactions, electroweak Lagrangian density, Higgs mechanism, Goldstone theorem, quantization of weak interactions
Learning outcomes
After this course, the student will
- Understand the path-integral quantization and know how to use it to derive Feynman rules
Understand more thoroughly the notion of renormalization
Be able to apply renormalization methods to compute higher order corrections to scattering processes
- Understand the meaning, the origin, and how to calculate the scale dependencies of couplings and masses
Understand the quantization of gauge fields and know how to apply them to scattering processes
Understand the meaning of the effective action and effective potential and know how to compute quantum corrections to them
Understand more deeply the quantization of electroweak theory and know how calculate observables predicted by the theory
Understand the origin of quantum anomalies and their meaning
Description of prerequisites
FYSS4510 Quantum Field Theory
Study materials
Lecture notes
Literature
- Peskin & Schroder, An introduction to Quantum Field theory, Westview Press, ISBN 0-201-50397-2
- Srednicki, Quantum field theory, Cambridge, ISBN 987-0-521-86449-7
Completion methods
Method 1
Description:
Given every other year, starting autumn 2024.
Evaluation criteria:
Weekly exercises and traditional exam or home exam.
Time of teaching:
Period 1, Period 2
Select all marked parts
Method 2
Description:
This completion method is for students for whom completion method 1 is not possible for specific reasons (e.g. language, distance learning, statement for special study arrangements). Contact the teacher before enrolling to the course via this completion method.
Evaluation criteria:
Exercises and exam.
Select all marked parts
Parts of the completion methods
x
Teaching (11 cr)
Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
<p>Weekly exercises and traditional exam or home exam.</p>
Language:
English
Teaching
9/2–12/17/2024 Lectures
1/17–1/17/2025 Exam
x
Independent study (11 cr)
Type:
Independent study
Grading scale:
0-5
Evaluation criteria:
Exercises and exam.
Language:
English
Study methods:
Self-study, exercises and exam.