Fachbereich Physik und Astronomie


Quantum Field Theory I

General course information

All the details on place, time and ECTS credit points are available on the KSL

Due to the COVID pandemic, please register via the KSL *before the start of the course* if you are planning to take this course (or contact me in case this is not possible)!

Course description

First semester of a 2-semester basic course on quantum field theory. The course subjects include:

Part I: QFT of the scalar field

  • path integral quantization of the free scalar field
  • continuous spacetime symmetries in classical field theories
  • Feynman diagrams and Feynman rules for the phi^4 theory
  • canonical quantization of the scalar field
  • continuous symmetries in QFT
  • internal symmetries (continuous and discrete)
  • spontaneous symmetry breaking
  • a first look at renormalization

Part II: QFT of the fermion field

  • representations of the Lorentz group
  • the Dirac Lagrangian and equation
  • Clifford algebra and gamma matrices 
  • canonical quantization for spinors
  • fermionic path integral
  • Feynman rules

The exercise sessions and exercise sheets are integral part of the course, as some essential concepts are developed there!

This course should be attended in parallel with "Exercices in Theoretical Physics" and before "Quantum Field Theory II" (Spring semester).


My notes are largely based on:

  • A. Zee, Quantum field theory in a nutshell, Princeton University Press, 2003
  • S. Coleman, Quantum Field Theory Lectures, World Scientific, 2019

Additional reading:

  • E. Fradkin, Quantum Field Theory - an integrated approach, Princeton University Press 2021
  • M.E. Peskin, D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley, 1995