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Théorie quantique des champs

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Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Parcours Physique Theorique = cours obligatoire
Enseignant : Amir-Kian Kashani-Poor
Chargé des TD : Lucia Cordova
ECTS : 6
Langue d’enseignement : Anglais
Modalités d’examen : Ecrit
Site web :

Descriptif du cours

This course will provide an introduction to quantum field theory. Previous exposure to an introductory course on second quantization is not required, but will be helpful. We will discuss the observables of quantum field theory, canonical and path integral quantization of fields of different spin, perturbation theory and its infinities, abelian and, time permitting, non-abelian gauge symmetry. The course will be inspired by the textbooks “Quantum Field Theory and the Standard Model” by Matthew D. Schwartz and "The Quantum Theory of Fields", volume 1, by Steven Weinberg.

Prerequisites:

- quantum mechanics, including perturbation theory (Fermi’s golden rule, …),

- special relativity, in particular the Lorentz transformation and relativistic kinematics,

- the relation between the S-matrix and cross-sections and decay rates, at the level of an introductory particle physics course, such as Thomson’s Modern Particle Physics, chapter 3, or chapter 5.1 of Schwartz,

- analytical mechanics (Lagrangian and Hamiltonian formalism), including for classical fields, at the level of Schwartz, chapter 3, or Goldstein’s Classical Mechanics, chapter 12, in particular familiarity with Noether’s theorem,

- complex analysis, in particular the computation of residues, and a passing familiarity with distributions (roughly at the level of the corresponding Wikipedia page entry).

You can find exams from previous years here:

- 2018/19


- 2017/18

Here’s a link to exercise sheets that have already been handed out (2019/20): exercises

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr