Introduction to Relativistic Quantum Field Theory (WS19/20)

Lecturer

Prof. Dr. Stefan Dittmaier

Dates

• 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.

Content

• 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

Prerequisites

Quantum Mechanics, Electrodynamics and Special Relativity

Literature

• 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