Quantum field theory II
Summary
The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions such as Quantum Electrodynamics.
Content
- Quantisation of fields and massive particles with spin and the relevance of symmetries in fundamental physics (Poincaré group, little groups, irreducible representations ...);
- Quantisation of massless particles with spin-1 (photons);
- Introduction to Quantum electrodynamics (QED);
- Discrete spacetime symmetries (P, C, T and CPT);
- Causality and statistics;
- Classical predictions of QED;
- Higher order calculations and quantum corrections.
Time permitting: more advanced topics such as the Higgs mechanism, electroweak interactions and non-abelian gauge theories, path integral...
Learning Prerequisites
Required courses
Classical Electrodynamics, Quantum Field Theory I, Quantum Mechanics I and II, Analytical Mechanics, Mathematical Physics
Recommended courses
Quantum Mechanics III and IV, General Relativity, Cosmology
Learning Outcomes
By the end of the course, the student must be able to:
- Expound the theory and its phenomenological consequences
- Formalize and solve the problems
Transversal skills
- Use a work methodology appropriate to the task.
Teaching methods
Ex cathedra and exercises in class
Assessment methods
Exam: oral, consisting of one theoretical question and one exercise, picked randomly and for which the candidate is allowed a 45 minute preparation
Resources
Bibliography
- "An introduction to quantum field theory / Michael E. Peskin, Daniel V. Schroeder". Année:1995. ISBN:0-201-50397-2
- "The quantum theory of fields / Steven Weinberg". Année:2005. ISBN:978-0-521-67053-1
- Quantum Field Theory and the Standard Model / Matthew D. Schwartz". Année:2014. ISBN:1107034736
- Quantum Field Theory / Marc Srenedicki". Année:2007. ISBN:9780521864497
- "Quantum field theory / Claude Itzykson, Jean-Bernard Zuber". Année:1980. ISBN:0-07-032071-3
- "Relativistic quantum mechanics / James D. Bjorken, Sidney D. Drell". Année:1964
- "A modern introduction to quantum field theory / Michele Maggiore". Année:2010. ISBN:978-0-19-852074-0
- "Théorie quantique des champs / Jean-Pierre Derendinger". Année:2001. ISBN:2-88074-491-1
Ressources en bibliothèque
- Relativistic quantum mechanics / Bjorken
- Quantum field theory / Itzykson
- An introduction to quantum field theory / Peskin
- Quantum Field Theory / Srenedicki
- A modern introduction to quantum field theory / Maggiore
- The quantum theory of fields / Weinberg
- Quantum Field Theory and the Standard Model / Schwartz
- Théorie quantique des champs / Derendinger
Websites
Moodle Link
Prerequisite for
Prerequisite for Theoretical Physics
In the programs
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum field theory II
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum field theory II
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum field theory II
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum field theory II
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, other