Introduction to Relativistic Quantum Field Theory (SS18)

Lecturer

Prof. Dr. Stefan Dittmaier

Dates

• 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.

Content

• 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

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

qft.pdf

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