Introduction to Relativistic Quantum Field Theory (SS12)

Lectures

Prof. Dr. Stefan Dittmaier, Dr. Christian Schwinn

Dates

• Lecture: 4 hours, Tue, Wed 14-16, HSII,  start:  24.04.2012
• Tutorial: 2 hours, Mon 10-12, SR I, start:  07.05.2012
  

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
  

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"
• 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 for section 1-5 (pdf)

Requirements for Academic Record

• active and regular participation in the tutorials, including solutions to  50% of the homework problems.
• in case an exam ( "Prüfungsleistung")  is required, an oral exam will be offered. Prerequisite is the successful participation in the tutorials.
  

Further details will be given in the lecture/tutorials.

1. Problem set (pdf)
2. Problem set (pdf)
3. Problem set (pdf)
4. Problem set (pdf)
5. Problem set (pdf)
6. Problem set (pdf)
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11. Problem set (pdf)
12. Problem set (pdf)