Quantum Field Theory 1 – HS 2012

Description

The goal of this course is to provide a solid introduction to the formalism, the techniques and important physical applications of quantum field theory. Furthermore it prepares students for the advanced course in quantum field theory (Quantum Field Theory II) and for work on research projects in theoretical physics, particle physics and condensed-matter physics.

Content

1. Classical and Quantum Mechanics
2. Classical Free Scalar Field
3. Scalar Field Quantisation
4. Symmetries
5. Free Spinor Field
6. Free Vector Field
7. Interactions
8. Correlation Functions
9. Particle Scattering
10. Scattering Matrix
11. Loop Corrections

Literature

• M. E. Peskin, D. V. Schroeder, "An Introduction to Quantum Field Theory", Westview Press (1995)
• C. Itzykson, J.-B. Zuber, "Quantum Field Theory", McGraw-Hill (1980)
• P. Ramond, "Field Theory: A Modern Primer"", Westview Press (1990)
• M. Srendnicki, "Quantum Field Theory", Cambridge University Press (2007)
• M. Kaku, "Quantum Field Theory", Oxford University Press (1993)
• D. Tong, "Quantum Field Theory", lecture notes, http://www.damtp.cam.ac.uk/user/tong/qft.html
• M. Gaberdiel "Quantenfeldtheorie", lecture notes (in German),
  http://www.itp.phys.ethz.ch/people/gaberdim

Credit Requirements

• 30 minute oral examination
• Recommended: 70% of homework problems worked out in reasonable quality
• Recommended: 1 problem solution presented at black board

Materials

Lecture Notes

• Chapter 1: Classical and Quantum Mechanics (PDF, 272 kB)
• Chapter 2: Classical Free Scalar Field (PDF, 249 kB)
• Chapter 3: Scalar Field Quantisation (PDF, 384 kB)
• Chapter 4: Symmetries (PDF, 271 kB)
• Chapter 5: Free Spinor Field (PDF, 252 kB)
• Chapter 6: Free Vector Field (PDF, 250 kB)
• Chapter 7: Interactions (PDF, 219 kB)
• Chapter 8: Correlation Functions (PDF, 576 kB)
• Chapter 9: Particle Scattering (PDF, 422 kB)
• Chapter 10: Scattering Matrix (PDF, 371 kB)
• Chapter 11: Loop Corrections (PDF, 305 kB)
• Complete Lecture Notes (PDF, 1.8 MB)

Problem Sets

• Problem Set 01 (24.09.–01.10.) (PDF, 135 kB)
• Problem Set 02 (01.10.–08.10.) (PDF, 103 kB)
• Problem Set 03 (08.10.–15.10.) (PDF, 159 kB)
• Problem Set 04 (15.10.–22.10.) (PDF, 193 kB)
• Problem Set 05 (22.10.–29.10.) (PDF, 129 kB)
• Problem Set 06 (29.10.–05.11.) (PDF, 123 kB)
• Problem Set 07 (05.11.–12.11.) (PDF, 140 kB)
• Problem Set 08 (12.11.–19.11.) (PDF, 118 kB)
• Problem Set 09 (19.11.–26.11.) (PDF, 119 kB)
• Problem Set 10 (26.11.–03.12.) (PDF, 145 kB)
• Problem Set 11 (03.12.–10.12.) (PDF, 126 kB)
• Problem Set 12 (10.12.–17.12.) (PDF, 140 kB)
• Problem Set 13 (17.12.–early Jan 2013 by email to tutors) (PDF, 134 kB)
• Collected Problem Sets (PDF, 1.7 MB)