Introduction to Relativistic Quantum Field Theory (SS14)

Lecturers

Prof. Dr. Stefan Dittmaier, Dr. Heidi Rzehak

Dates

• Lecture: 4 hours, Mo 12-14, Tu 14-16, HSII,  start: 28.04.2014
• Tutorial: 2 hours, Wed 14-16, SR GMH, start: 09.05.2014
  (instead of a tutorial: extra lecture in the first week on 30.04.2014)

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)
• 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, interacting fermion fields and perturbative evaluation)
• Vector-boson fields (classical field equations, electromagnetic interactions and the gauge principle, quantization of the electromagnetic field, quantum electrodynamics and perturbative evaluation, phenomenological applications) 
  
• Quantization with functional integrals
  

Prerequisits

Quantum Mechanics, Electrodynamics and Special Relativity

Textbooks

• 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 Textbooks

• Böhm/Denner/Joos: "Gauge Theories of the Strong and Electroweak Interaction"
• Weinberg: "The Quantum Theory of Fields, Vol.2: Modern Applications"

Lecture notes

Lecture notes: (qft.pdf)

Requirements for  Course Achievement / Academic Record

• Course Achievement ("Studienleistung"):
  Active and regular participation in the tutorials, including solutions to 50% of the homework problems
• Academic Record ( "Prüfungsleistung"):
  Course Achievement + Additional oral or written exam.
  

Further details will be given in the lecture/tutorials.

Problem sheets:

1. Problem set: qft14_1.pdf
2. Problem set: qft14_2.pdf
3. Problem set: qft14_3.pdf
4. Problem set: qft14_4.pdf
5. Problem set: qft14_5.pdf
6. Problem set: qft14_6.pdf
7. Problem set: qft14_7.pdf
8. Problem set: qft14_8.pdf
9. Problem set: qft14_9.pdf
10. Problem set: qft14_10.pdf
11. Problem set: qft14_11.pdf
12. Problem set: qft14_12.pdf