QUANTUM FIELD THEORY (FYS510 11 P), Fall 2017


General information

Lecturer:
Kimmo Kainulainen
FL216
Lectures 48 h:
Tue and Thu 10-12
FYS2
Course length:
5.9-23.11 2017

Grader
Olli Koskivaara

YK 215
Excercises 24 h:
 
FYS5
Exam 1,
20.10 2017
??
Exam 2
15.12 2017
??

Registration to KORPPI- database.

Absences and replacement lectures

I will be away from 12th till 19th October, which means we will miss the three lectures just before the first exam, ie. Oct 12th, 17th and 19th (on weeks 41 and 42). The replacement lectures will be held on three Wednesdays, Sep 14th, Sep 27th and Oct 11th (weeks 37, 39 and 41). That is, on weeks 37 and 39 we will have three lectures, and correspondingly slightly larger excercise load. Note that on week 41 we have the normal amount of two lectures.

Course description

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.

Source literature

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.

Lecture notes

Lecture notes and excercises can be found from the links below. I am constantly updating and correcting the notes. Until now, I have updated and corrected some minor errors in chapter 1. I will always have a new chapter corrected and available on the previous week before we start going through it. It is highly advisable that you DO download each chapter right away and familiarize yourself with its contents before coming to the lecture.

Lectures


Excercises

Chapter 1 Chapter 2 Chapter 3
Chapter 4 Chapter 5 Chapter 6

harj. 1 harj. 2 harj. 3 harj. 4 harj. 5 harj. 6
harj. 7 harj. 8 harj. 9 harj. 10 harj. 11 harj. 12

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




Kimmo Kainulainen
Last changed: 5 September 2017.