Übersicht
Quantum Field Theory I (SoSe 2018)
Lectures
Tuesday, 13:30 - 15:10, S211/10
Wednesday, 9:50 - 11:30, S211/10
Friday, 11:40 - 13:20, S207/167
Lecturer
Assistant
Course book
Quantum Field Theory by Peskin and Schroder
Topics
- What is field theory; scalar theory
- Path integrals and generating functionals
- Interactions and Feynman diagrams
- Spinors and Dirac equation
- Scattering in QED
- Loops and renormalization
Homeworks and Solutions
All homeworks will appear here as they are needed. Solutions will appear a few days after the homework is due or discussed. They have now been taken down, for the good of future students.
- Homework 1, due 25 April 2018
- Homework 2, due 16 May 2018
- Homework 3, due 30 May 2018
- Homework 4, due 13 June 2018
- Homework 5, due 20 June 2018
- Homework 6, due 4 July 2018
- Homework 7, due 16 July 2018. It's harder but it's all extra credit.
Lecture Plan
PLEASE NOTE that we will meet 3 times a week. The Tuesday and Friday meetings are lectures, while the Wednesday meeting will SOMETIMES be a lecture (especially near the beginning) and sometimes be a discussion and presentation of the homeworks. AND SOMETIMES I will be traveling and we will not meet! I will try to have enough 3-lecture weeks such that the total number of lectures is between 26 and 28, allowing us to cover all the material for the course.
| Date | Topic | Reading | Notes | |
| 10 April | What is QFT? | Peskin Ch. 1 | notes | |
| 11 April | Classical scalar fields | Peskin 2.1 | notes 2 | |
| 13 April | Classical Nöther Theorem | Peskin 2.2 | notes 3 | |
| 17 April | Spacetime symmetries | Peskin 2.2 | notes 3 again | |
| 18 April | Free scalar field | Peskin 2.3 | notes 4 | |
| 20 April | Particles, wave packets | Peskin 2.4 | notes 5 | |
| 24 April | Lehmann representation, particles | Peskin 2.4, half of 7.1 | notes 6 | |
| 25 April | Discuss HW 1 | Homework 1 | ||
| 27 April | Setting up scattering | Peskin 7.2, Pages from Lowell Brown's book | notes 7 | |
| 2 May | The S-matrix, LSZ reduction | Peskin 4.5 and 7.2 | notes 8 | |
| 4 May | Scattering concluded | Peskin 4.5 and 7.2 | notes 8 | |
| 8 May | NO LECTURE | I am traveling | ||
| 9 May | NO LECTURE | I am in Trento | ||
| 11 May | NO LECTURE | At a workshop | ||
| 15 May | Path integrals 1 | Peskin 9.1 | notes 9 | |
| 16 May | Discuss HW 2 | |||
| 18 May | Path integrals, Pert. Thy | Peskin 9.2, 9.3 | notes 10 and notes 11 | |
| 22 May | CANCELED | XQCD Frankfurt | no lecture | |
| 23 May | CANCELED | XQCD Frankfurt | ||
| 25 May | CANCELED | CRC-TR 211 | ||
| 29 May | Tree-level Scattering | Peskin 4.1 to 4.6 | notes 12 | |
| 30 May | Disconnected and loop diagrams | Peskin 4.1 to 4.6 | notes 13 | |
| 1 June | Lorentz group generators | Peskin 3.1 | notes 14 | |
| 5 June | Lorentz group representations | Peskin 3.1, 3.2 | notes 15 | |
| 6 June | Dirac equation, Gamma matrices | Peskin 3.1 to 3.4 | notes 16 | |
| 8 June | Wave and hydrogenic solutions | Peskin 3.1 to 3.4 | notes 17 | |
| 12 June | Quantizing Dirac | Peskin 3.5 | notes 18 | |
| 13 June | Discuss Homework 4 | See HW 4 above | ||
| 15 June | Fermionic Path Integral | Peskin 9.5 | notes 19 | |
| 19 June | External state fermions; Signs and Fermions | Peskin 4.7, 9.5 | notes 20 | |
| 20 June | Discuss Homework 5 | And finish notes 20 | ||
| 22 June | Continuous symmetries again | Peskin 9.6 | notes 21 | |
| 26 June | Gauge invariance, photon propagator | Peskin 4.8, 9.4 | notes 22 | |
| 27 June | Calculating: trace methods | Peskin 5.1 to 5.3 | notes 23 | |
| 29 June | Calculating: interference, crossing | Peskin 5.4, 5.5 | notes 24 | |
| 3 July | Higher-order: IR, collinear | Peskin 6.1, 6.2 | notes 25 | |
| 4 July | CANCELED | CRC-TR211 Frankfurt | ||
| 6 July | Higher-order: Renormalization | Peskin 7.1 | notes 25 | |
| 10 July | Vertex and Self-energy | Peskin 6.2 to 6.4 | notes 26 | |
| 11 July | Ward-Takehashi | Peskin 7.4, 9.6 | notes 27 | |
| 13 July | Electron g-2 | Peskin 6.3 | notes 28 |
