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Introduction to Relativistic Quantum Field Theory (SS18)


Prof. Dr. Stefan Dittmaier


  • Lecture: 4 hours, Mon 14-16, Tue 12-14, HS I, start: 16.04.2018
  • Tutorial: 2 hours, Wed 14-16, HS II

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.


  • Quantization of scalar fields (Klein Gordon equation, classical field theory, canonical quantization, scattering theory and Feynman diagrams)
  • Vector-boson fields (classical field equations, electromagnetic interactions and the gauge principle, quantization 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, quantization of free Dirac fields, QED and perturbative evaluation, applications)
  • Quantization 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. Sheet: qft18_01.pdf
  2. Sheet: qft18_02.pdf
  3. Sheet: qft18_03.pdf
  4. Sheet: qft18_04.pdf
  5. Sheet: qft18_05.pdf
  6. Sheet: qft18_06.pdf
  7. Sheet: qft18_07.pdf
  8. Sheet: qft18_08.pdf
  9. Sheet: qft18_09.pdf
  10. Sheet: qft18_10.pdf
  11. Sheet: qft18_11.pdf
  12. Sheet: qft18_12.pdf
Benutzerspezifische Werkzeuge