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
7. Gauge invariance, the electromagnetic field and its coupling to charged fields. Quantized electromagnetic field. Massive vector field. Polarization vectors. Representation of the Lorentz group on single particle states.
8. Causality in classical and quantum field theory
9. Discrete symmetries: parity (P), charge conjugation (C), time reversal (T) and their action of fields and states. CPT theorem.
10. Interacting fields. Formal theory of relativistic scattering. Asymptotic states. Lippmann-Schwinger equation. S-matrix and its symmetries. S-matrix in perturbation theory and Feynman diagrams. Cross sections and decay-rates.
11. Quantum electrodynamics: Feynman rules, elementary processes, Ward identities.
12. The Standard Model: non-abelian gauge theory, the field content and the lagrangian of the SM, the Higgs mechanism.
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
Oral exam, based on one theoretical question and one exercise picked through a random choice. The candidate is allowed 1 hour to prepare and 20 minutes to present and discuss the handwritten results.
Resources
Virtual desktop infrastructure (VDI)
Yes
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 / 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
- Quantum Field Theory / Marc Srenedicki". Année:2007. ISBN:9780521864497
- Quantum Field Theory and the Standard Model / Matthew D. Schwartz". Année:2014. ISBN:1107034736
Ressources en bibliothèque
- Relativistic quantum mechanics / Bjorken
- Quantum field theory / Itzykson
- An introduction to quantum field theory / Peskin
- Théorie quantique des champs / Derendinger
- A modern introduction to quantum field theory / Maggiore
- The quantum theory of fields / Weinberg
- Quantum Field Theory and the Standard Model / Schwartz
- Quantum Field Theory / Srenedicki
Websites
Moodle Link
Prerequisite for
Theoretical Particle Physics
Dans les plans d'études
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Quantum field theory II
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Quantum field theory II
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Quantum field theory II
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Quantum field theory II
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
Semaine de référence
Lu | Ma | Me | Je | Ve | |
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:
Cours
Exercice, TP
Projet, labo, autre