Symmetries and Quantum Field Theory

Accès rapides

Accès rapides

Prochain Séminaire de la FIP :
Accéder au programme

Retrouvez toutes les informations pour vos stages :
Stages L3
Stages M1 ICFP
Stages M2 ICFP

Actualités : Séminaire de Recherche ICFP
du 6 au 10 novembre 2017 :

Retrouvez le programme complet

Emploi du temps 2017-2018 :
Emploi du temps L3
Emploi du temps M1 ICFP
Emploi du temps M2 ICFP

Contact - Secrétariat de l’enseignement :
Tél : 01 44 32 35 61
enseignement@phys.ens.fr

Faculty : Jean-Noël FUCHS

Tutor : Giuliano Orso

ECTS credits : 6

Language of instruction : English
Web site : http://jnfuchs.monsite-orange.fr (lecture notes and previous exam sheets)
https://sites.google.com/site/giulianoorso/home/teaching (exercise sheets)

Course description

This is an introductory course to quantum field theory, a formalism that is needed to describe elementary particles and their interactions, together with a large class of condensed matter systems. In a first part, classical field theory with relativistic invariance is introduced. Particular emphasis is put, on the one hand, on the relationship between symmetries, and on the other, on the nature of possible particles and their dynamics. As a consequence of this approach, the scalar field, the vectorial field and the spinorial field appear naturally. Their transformation properties under the action of the Lorentz group are thoroughly exposed. The dynamical equations obeyed by those fields are presented, and motivated (Klein-Gordon, Maxwell and Dirac equations). Low energy applications in condensed matter (as e.g. graphene, or topological insulators) are discussed. In the second part of this course, the free fields are quantized. The Fock space, and its interpretation in terms of particles, is introduced. Finally, the course ends up with an introduction to the concept of spontaneous symmetry breaking in quantum field theory. In particular, the two viewpoints on symmetries in quantum field theory (Wigner-Weyl and Nambu-Goldstone) are introduced, and the Goldstone theorem is proved.

Programme detaillé

Accès rapides

Prochain Séminaire de la FIP :
Accéder au programme

Retrouvez toutes les informations pour vos stages :
Stages L3
Stages M1 ICFP
Stages M2 ICFP

Actualités : Séminaire de Recherche ICFP
du 6 au 10 novembre 2017 :

Retrouvez le programme complet

Emploi du temps 2017-2018 :
Emploi du temps L3
Emploi du temps M1 ICFP
Emploi du temps M2 ICFP

Contact - Secrétariat de l’enseignement :
Tél : 01 44 32 35 61
enseignement@phys.ens.fr