Institute for Theoretical Physics ⇒ Group Home ⇒ Teaching ⇒ Quantum Field Theory I ⇒ Script

Quantum Field Theory

Jan Martin Pawlowski, winter term 2022/2023

Preliminary TeX version (pdf)

Editors: Jan M. Pawlowski, Felipe Attanasio

 
 


Table of Contents

 
  • 1 Introduction
 
  • 2 Free scalar field
 
    • 2.1 Classical field theory
 
    • 2.2 Noether theorem
 
    • 2.3 Quantisation
 
  • 3 Perturbation theory
 
    • 3.1 Interaction picture
 
    • 3.2 Wick's theorem
 
    • 3.3 Feynman rules
 
    • 3.4 Cross section
 
    • 3.5 LSZ-formalism
 
  • 4 Fermions
 
    • 4.1 Fields & Lorentz invariance
 
    • 4.2 Spinor Fields
 
    • 4.3 Quantisation
 
  • 5 Gauge fields
 
    • 5.1 Gauge Symmetry
 
    • 5.2 Quantisation
 
    • 5.3 Casimir effect*
 
  • 6 QED
 
    • 6.1 Action and Feynman rules
 
    • 6.2 Elementary Processes
 
  • 7 Renormalisation
 
    • 7.1 φ⁴-Theorie
 
    • 7.2 QED
 
  • 8 Standard Model
 
    • 8.1 Non-Abelian Gauge Theories
 
    • 8.2 Spontaneous Symmetry Breaking