NATF002: Advanced Quantum Field Theory 7.5hp
This page can be found at
PhD course in Theoretical Physics at Lund University
Course book: Michael E. Peskin and Daniel V. Schroeder,
to Quantum Field Theory
Misprints in the book can be found via
Peskin's QFT page.
Note that there are three different lists of misprints which you might all need
depending on which edition you have.
Contents of the course
The aim of the course is to give deeper knowledge of field theory beyond the first course.
Subjects include: Radiative Corrections, charge and field-renormalization,
LSZ reduction formula, Path Integrals in Quantum Mechanics and Field Theory
(functional methods), spontaneous symmetry breaking,
renormalization group, gauge theories, QCD,
Higgs Mechanism, Standard Model.
- Ch. 6
- Ch 7 sections 7.1, 7.2 7.5 and the gluon radiation discussion
- Ch 8
- Ch 9 (not 9.6)
- Ch 10. (not 10.5)
- Ch 11 only 11.1
- Ch 12 (not 12.4)
- Ch 15 (not 15.3, 15.4 cursory)
- Ch 17
- Ch 20 (only 20.1 and 20.2)
Problems to attempt (useful for understanding the later chapters)
- 6.2: Not needed to be solved for passing the course,
but useful in understanding
what happens for 17.4 and parton evolution in Chapter 17.
Hints and comments to some of the exercises
The use of algebraic manipulation programs like FORM, Maple or Mathematica
is allowed, even encouraged.
The full list of hints, also says if there are nonrequired parts, is available as a postscript file:
There are many books on quantum field theory varying from very elementary
to very mathematical, the list below are some I have looked at but there
are many more.
The course book tends to do calculations in more
detail than most other quantum field theory books. If you loose track of why
to do some things, a good complement to the course book is
A. Zee, Quantum Field Theory in a Nutshell.
Here are some others
Some of the more philosophical backgrounds of Field theory can be found
in the review article
Frank Wilczek, Quantum Field Theory published in
Rev.Mod.Phys. 71 (1999) S85-S95 or
A shorter discussion by Steven Weinberg is
These are both very much recommended.
- Warren Siegel, Fields, freely available on arXiv
- R. E. Borcherds, A. Barnard, Lectures on Quantum Field Theory,
freely available as
aimed at mathematicians
- Steven Weinberg, The Quantum Theory of Fields, 3 volumes,
good on the
philosophy and reasons why field theory looks as it does.
Unusual sign conventions. A good complementary read for those who want to know
- Itzykson and Zuber, Quantum Field Theory, the book I learned
a lot from.
- Ramond, Field Theory, a modern primer, a purely pathintegral
- L. Alvarez-Gaume and M. Vazquez-Mozo, Introductory lectures
on quantum field theory,
hep-th/0510040, a recommended read.
- A. Zee, Quantum Field Theory in a Nutshell, contains also
decent discussions about the conceptual backgrounds of the various parts.
Solutions on the web
I haven't found any yet but they do probably exist if you look hard enough.
This document was last modified Thursday, 03-Dec-2015 10:11:59 CET