| Lecturer: | Kimmo Kainulainen | FL216 | ||
| Lectures 48 h: | Mon and Wed 10.15-12 | FYS5 | ||
| Course length: | 4.9 - 1.12 2023 | |||
| Grading assistant |
Olli Väisänen |
YFL 347 | ||
| Excercises 24 h: | 12.15-14 | YFL140 | ||
| Midterm exam 1, | 20.10 2023, 12.00-16.00 | YAB 310.1 | Midterm exam 2, | 1.12 2023, 12.00-16.00 | YFL 228, FYS3 | Final exam (optional), | 19.1 2024 | ?? |
Registration to KORPPI- database.
We will cover roughly the first nine chapters from Peskin and Schroeder. Order may change a little. The issues that we will encounter include the following: Classical field theories: Symmetries and conservation laws and Noethers theorem. Free scalar theory: Canonical quantization. Greens functions and propagator. Spin and quantization of fermion fields. Discrete symmetries P,C and T. Interacting field theory: S-matrix and cross sections. LSZ-reduction formalism. Perturbation theory: Wick theorem and Feynman rules. Yukawa theory, QED and Static potentials. Examples of tree level scattering processes. Renormalization and regularization: UV-divergences. Canonical mass, wave-function and coupling constant renormalization. BPHZ-scheme. Cut-off and Pauli-Villairs and dimensional regularization. S-matrix and renormalization. Path integrals: Schrodinger equation. PI-quantization of scalar and fermion fields. Perturbation expansion in PI-formalism, generating functions. Connection to statistical physics. PI-Quantization of Abelian and non-Abelian gauge fields.
| M.E. Peskin and D.V. Schroeder | An introduction to quantum field theory, Westview 1995 | |
| M. Srednicki | Quantum field theory, Cambridge 2007 | |
| M. Kaku | Quantum field theory, Oxford 1993 | |
| C. Itzykson and J-B. Zuber | Quantum field theory, McGraw-Hill, 1980 |
Of these by far the best fit to the course is Peskin and Schroeder. The book by Srednicki is perhaps even better pedagocically. The only issue is the order of presentation; course more closely follows that of PS.
The book by Blundell and Lancaster, Quantum field theory for Gifted Amateur could also be useful. Interestingly, it can be downloaded for free from this link. It is not very good match for what we are going to do: for example the topic of our second lecture, the canonical quantization is discussed in chapters 11 and 12. BUT it is very thorough. You might find it a useful reference in making a connection between the stuff you learned in quantum mechanics II and the material in this course. Also, the late chapters on S-matrix and cross sections looks useful.
Also the Lecture notes by Hannu Paukkunen can be useful, although they are not organized exactly the same way as mine. For example, Hannu leaves path integrals to the QFT-2 part.
Model solutions to excercises by Olli can be found here.
Final evaluations can be found here.
Section on LSZ-reduction here