# Quantum Field Theory

MSc Physik / MSc Physics

SS 21

## Important

### Lecturer

### Begin of lecture

19. April 2021

### Time and Date

- Recorded Lectures will be uploaded at the beginning of the week.
**Friday 9:45 - 11:15**, online live lecture discussing topics of the previous week

### General Information

- The lecture and the tutorials will be given in
**English**. - The problem sets will be handed in by the students, graded/corrected by the tutor and discussed in the tutorials the following week.
- Admission to the final exam requires
**66%**of the points on the problem sets. - Please register for the exercise groups online. To do so, you need the Lecture Key given in the first lecture.
- If you assign a password at the registration, you can request your current scores here.

### Examination

There will be an oral examination at the end of the course. Details will be given in the lecture.

### Literature

- Weinberg: The Quantum Theory of Fields (Volume 1)
*Standard reference, very rigorous & mathematical, ratio #formulas/#text = high* - Itzykson/Zuber: Quantum Field Theory
*Standard reference, ratio #formulas/#text = high* - Peskin/Schroeder: An Introduction to Quantum Field Theory
*Standard reference for courses on QFT, ratio #formulas/#text = medium* - Zee: Quantum Field Theory in a Nutshell
*Compact and pedagogical introduction to the field, #formulas/#text = low*

### Topics

The goal is to gain a thorough understanding of relativistic quantum field theory, the concepts of Feynman diagrams, renormalisation for quantum electrodynamics, and to extend this knowledge to non-abelian gauge theories. In particular:

- Relativistic quantum mechanics and Dirac equation
- Path integral formalism
- Quantisation - Free fields
- Interacting fields and Feynman diagrams
- Elementary processes and first corrections
- Renormalisation
- Non-abelian gauge fields

### Script

These notes follow mostly the exposition of Peskin & Schroeder. They are not an extension of the material covered in the lectures but the script that I use to prepare them. Please have a look at Peskin & Schroeder and the given references for more comprehensive coverage; the corresponding pages are noted in the headers (→ P&S • pp. xx-yy).

### Problem Sets

No. | Problem Set | Date | Comments |
---|---|---|---|

1 | Problem Set 01 | 16.04.2021 | To be handed in until April 25, 2021. |

2 | Problem Set 02 | 25.04.2021 | To be handed in until May 2, 2021. |

3 | Problem Set 03 | 03.05.2021 | To be handed in until May 9, 2021. |

4 | Problem Set 04 | 10.05.2021 | To be handed in until May 16, 2021. |

5 | Problem Set 05 | 24.05.2021 | To be handed in until May 30, 2021. |

6 | Problem Set 06 | 31.05.2021 | To be handed in until June 6, 2021. |

7 | Problem Set 07 | 07.06.2021 | To be handed in until June 13, 2021. |

8 | Problem Set 08 | 14.06.2021 | To be handed in until June 20, 2021. |

9 | Problem Set 09 | 21.06.2021 | To be handed in until June 27, 2021. |

10 | Problem Set 10 | 28.06.2021 | To be handed in until July 6, 2021. |

11 | Problem Set 11 | 05.07.2021 | To be handed in until July 11, 2021 |

12 | Problem Set 12 | 12.07.2021 | To be handed in until July 18, 2021. |

### Tutorials

Tutor | Room | Day | Time | |
---|---|---|---|---|

Jan Kumlin / Nastasia Makki | Online | Friday | 11:30 - 13:00 |