QUANTUM FIELD THEORY APPLICATIONS (FYS515 11 PTS), FALL 2024


General

Lecturer:
Kimmo Kainulainen
FL220
Lectures 28 h:
Mon and Wed 10.15-12.00
YFL226
Course time:
2.9.-11.12

Grading assistant
Ismail Soudi

YK???
Excercises 28 h:
Wed 14.15-16.00 
YFL226 
EXAM
17.12.2024

Course description

Systematics of renormalization, BPHZ-method. Renormalization of QED and Ward identities, explicit 1-loop renormalization. Infrared divergences and soft brehmsstrahlung. Renormalization group: Wilsonian flow, Callan-Symantzik equation. Beta functions and anomalous dimensions, one-loop running of couplings. Renormalization of Yang-Mills theory, asymptotic freedom. Parton model and quark model for QCD. Critical phenomena and epsilon-expansion, critical exponents. Effective action and renormalization-group-improved effective potential. Renormalization of spontaneously broken theories. Standard model of electroweak interactions. Precision electroweak observables. Quantum anomalies: chiral and conformal anomalies and ABJ-anomalies

Source literature

M.E. Peskin and D.V. Schroeder
An introduction to quantum field theory, Westview 1995
M. Kaku
Quantum field theory, Oxford 1993
C. Itzykson and J-B. Zuber
Quantum field theory, McGraw-Hill, 1980
T-P Cheng and L-F. Li
Gauge theory of elementary particle physics, Oxford 1984
D.J. Amit and V. Martin-Mayor
Field theory, Renormalization group and critical phenomena, World Scientific, 2005
 

Of these by far the best fit to the course is Peskin and Schroeder. Moreover, Cheng and Li is excellent addition to many topics. Itzykson and Zuber and Kaku are not as well suited to our purposes, but provide good back up in formal issues. Amit and Martin-Mayor is very broad in issues related to renormalization group.

Lecture notes

Lecture notes will be collected to a pdf-book, which you can find chapter by chapter from the links below. In the end I will also bind all sections together to a complete pdf lecture note book.

Lectures


Excercises

Chapter 0 (4 Mb) Chapter 1 (3.5 Mb) Chapter 2 (? Mb) Chapter 3 (? Mb)
Chapter 4 (? Mb) Chapter 5 (? Mb) Chapter 6 (? Mb) Chapter 7 (? Mb)

Ex. 1 Ex. 2 Ex. 3 Ex. 4 Ex. 5 Ex. 6
Ex. 7 Ex. 8 Ex. 9 Ex. 10 Ex. 11 NONE

EXAM

Questions.

Course evaluation

Arviointi




Kimmo Kainulainen
Last edited: 30 August 2024