|Lecturer:||Kimmo Kainulainen|| FL216 |
|Lectures 48 h:||Tue and Thu 10-12||FYS2|
|Course length:||5.9-23.11 2017|
|Excercises 24 h:||FYS5|
|Exam 1,||20.10 2017||??||Exam 2||15.12 2017||??|
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.
Antonino told me that he found the book by Blundell and Lancaster, Quantum field theory for Gifted Amateur very 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.
Full set of lectures can be found here. This, however, is not the latest version. There are typos and I am very likely to rewrite some parts of the notes as we go. It is always safer to read individual chapters when they appear. (I will update the full text at the same time as ne chapters appear, though.)
For finnish students: lähes täsmälleen samat luennot löytyvät myös suomenkielisinä kalvoina tästä. Vastaavuus on enemmän kuin 99 prosenttinen, joskin joitain typoja voi olla korjaamatta suhteessa englanninkieliseen versioon.
Section on LSZ-reduction here