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Introduction to Relativistic Quantum Field Theory (WS19/20)


Prof. Dr. Stefan Dittmaier


  • Lecture: 4 hours, Mon 14-16, Thu 10-12, HS II, start: 21.10.2019
  • Tutorial: 2 hours, Fri 12-14, SR III

For Bachelor students

The lecture is suitable as supplementary or elective course  (Wahlpflicht- bzw. Wahlbereich).  It is equivalent to the lecture "Theoretische Teilchenphysik" in the course description.


  • Quantisation of scalar fields (Klein-Gordon equation, classical field theory, canonical quantisation, scattering theory and Feynman diagrams)
  • Vector-boson fields (classical field equations, electromagnetic interactions and the gauge principle, quantisation of the electromagnetic field, scalar QED and perturbative evaluation)
  • Dirac fermions (basics of Lie Groups, Lorentz group and its representations, Dirac and Weyl equations, Poincare group and its representations, quantisation of free Dirac fields, QED and perturbative evaluation, applications)
  • Quantisation with functional integrals


Quantum Mechanics, Electrodynamics and Special Relativity


  • Bjorken, Drell: "Relativistic Quantum Mechanics"
  • Bjorken, Drell: "Relativistic Quantum Fields"
  • Itzykson, Zuber: "Quantum Field Theory"
  • Maggiore: "A Modern Introduction to Quantum Field Theory"
  • Peskin, Schroeder: "An Introduction to Quantum Field Theory"
  • Ramond: "Field Theory: a Modern Primer"
  • Schwartz, "Quantum Field Theory and the Standard Model"
  • Tung: "Group Theory in Physics"
  • Weinberg: "The Quantum Theory of Fields, Vol.1: Foundations"

More advanced literature

  • Böhm, Denner, Joos: "Gauge Theories of the Strong and Electroweak Interaction"
  • Weinberg: "The Quantum Theory of Fields, Vol. 2: Modern Applications"

Requirements for Course Achievement / Academic Record

  • Course Achievement ("Studienleistung"):
    Active and regular participation in the tutorials, including solutions to 60% of the homework problems.
  • Academic Record ("Prüfungsleistung"):
    Course Achievement + additional oral or written exam.

Further details will be given in the lecture/tutorials.

Lecture notes


Exercise sheets

  1. Problem Sheet: qft19-01 (discussion: Wed 30.10.2019)
  2. Problem Sheet: qft19-02 (discussion: Fri 08.11.2019)
  3. Problem Sheet: qft19-03 (discussion: Fri 15.11.2019)
  4. Problem Sheet: qft19-04 (discussion: Fri 22.11.2019)
  5. Problem Sheet: qft19-05 (discussion: Fri 29.11.2019)
  6. Problem Sheet: qft19-06 (discussion: Fri 06.12.2019)
  7. Problem Sheet: qft19-07 (discussion: Fri 13.12.2019)
  8. Problem Sheet: qft19-08 (discussion: Fri 10.01.2020)
  9. Problem Sheet: qft19-09 (discussion: Fri 17.01.2020)
  10. Problem Sheet: qft19-10 (discussion: Fri 24.01.2020)
  11. Problem Sheet: qft19-11 (discussion: Fri 31.01.2020)
  12. Problem Sheet: qft19-12 (discussion: Fri 07.02.2020)
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