This site contains the notes for the QFT tutorial sessions

(rules for hand-ins are here)

# Mindmaps

- The Schrodinger, Heisenberg and Interaction Pictures in QFT
- Overview of the fields in QFT (the more compact version is here)
- The field content of the Standard Model (the MSSM is here, if you are interested)
- Invariant commutation and propagation functions
- Path Integrals: Perturbation expansion for the phi^4-theory

# Useful external resources

- Fawad: Lecture Notes (FK8017)
- Fawad: Special Relativity and Maxwellâ€™s Equations (FK8003, 2008)
- QFT Lecture notes by M Schwartz
- Perturbation Theory and Feynman Diagrams by E Fradkin
- Correlation Functions and Diagrams by M A Luty
- Quantum Field Theoretic Perturbation Theory by H Kleinert

# Tutorial Plan

**Textbook:**
Mandl, Franz and Shaw, Graham - *Quantum Field Theory* (2nd ed., 2010),

ISBN: 9780471496830

Chapters in Mandl and Shaw | ||

2 | Lagrangian field theory | |

3 | Klein-Gordon field | |

4 | Dirac field | |

5 | Photons | |

6 | S-matrix expansion | |

7 | Feynman diagrams | |

8 | QED at lowest order | |

(9) | (Radiative corrections) | |

(10) | (Regularization) | |

11 | Gauge theories | |

13 | Path integrals | |

(14) | (QCD) | |

(15) | (Asymptotic freedom) | |

16 | Weak interactions | |

17 | Gauge theory of weak interactions | |

18 | Spontaneous symmetry breaking | |

19 | Standard electro-weak theory | |

Chapters in Schwartz | ||

2 | Lorentz transformations | |

5 | Cross-sections | |

10 | Spinors and Dirac equations | |

Additional topics | ||

Group theory | (join with Schwartz, Ch 2) | |

Heisenberg algebra (ladder operators) | (join with KG-field) |

**Note:**
Four chapters in parentheses (9, 10, 14 & 15) — if there is time.

** Supplementary reading: **

- "Classical Mechanics" by H. Goldstein, C. P. Poole, J. L. Safko (chapter 13)
- "Quantum Theory and the Standard Model" by Matthew D. Schwartz (Cambridge University Press)
- "Quantum Field Theory" by Mark Srednicki. (You can try a prepublication draft of this book on the author's webpage here. Note that the author follows different signature convention for the metric than one usually used in Mandl and Shaw.)
- Another book for path integrals in QFT is "Field Theory: A Modern Primer" by Pierre Ramond, section 3.1, 3.2, 4.1.