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    Quantum Field Theory

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    Undergraduate program 
    Program, courses and calendar 2022 - 2023  2022-2023 Timetable and calendar  Courses  Internships  Program, courses and calendar 2023 - 2024  2022-2023 Timetable and calendar  Courses  Internships  Program, courses and calendar 2021 - 2022  2021-2022 Timetable and calendar  Courses  Internships  Admissions  Recrutement sur concours  Recrutement sur dossier : Concours normalien étudiant  Contacts  Seminars  Seminars  2023-2024 FIP/ICFP seminar Program  Undergraduate program Intranet  Archives  Archives 2015-2016  Archives 2016-2017  Archives 2017-2018  Archives 2018-2019  Archives 2019-2020  Archives 2020-2021 
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    Master Astronomie, Astrophysique et Ingénierie Spatiale 
    Master Macroscopic Physics 
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    The Doctoral School Physics in Ile de France (EDPIF - ED564)  Physics for all 
    Astrophysical Astronomy of Île-de-France (ED 127)  Agrégation de physique  ENS Diploma  Student handbooks  Contact us 

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    Next student seminar :
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    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

    Theoretical Physics = compulsory
    Faculty: Adel BILAL
    Tutor: Guillaume BOSSARD
    ECTS credits: 6
    Language of instruction: English
    Web site:

    Course summary

    This course provides a detailed and in depth introduction to quantum field theory. Starting from its foundations, this course will provide the formalism and calculational techniques to understand and evaluate amplitudes and S-matrix elements up to one-loop in theories involving fields of different spins. The scope covered by these lectures corresponds roughly to the first volume of Weinberg’s "Quantum field theory".

    Prerequisites

    The students are supposed to be well acquainted with non-relativistic quantum mechanics and the formalism of special relativity. Some prior contact with the Dirac equation is helpful but not necessary.

    Table of contents

    1. Recap of quantum mechanics and Poincaré invariance, little group and one-particle states
    2. Multi-particle states, bosons and fermions, S-matrix
    3. Computing the S-matrix in perturbation theory, transition rates, cross-sections, cluster decomposition
    4. Quantum fields: construction of the scalar, vectorial and Dirac fields, Feynman propagators
    5. spin-statistics theorem and CPT
    6. Feynman rules for S-matrix elements and n-point Green functions, reduction formula
    7. Canonical formalism, symmetries and conserved currents
    8. Quantum electrodynamics
    9. Functional integral formulation, generating functionals
    10. Full propagators, vertex functions, Ward identities, introduction to renormalization
    11. One-loop computations in phi4-theory and QED, beta functions and g-2 computation
    12. Elements of general renormalization theory
    13. Elements of non-abelian gauge theories: Faddeev-Popov quantization, ghosts, BRST symmetry.

    Quick links

    Next student seminar :
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    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

     
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