Advanced Quantum Field Theory 5p

This page can be found at http://www.thep.lu.se/~bijnens/QFT2.html.

PhD course in Theoretical Physics at Lund University

Course plan: ps pdf LaTeX

Course book: Michael E. Peskin and Daniel V. Schroeder, An Introduction 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.

Required Problems

6.1
7.2
9.1
10.2
11.1
12.3
15.2
17.1
17.4
20.5

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.

The full list of hints is available as a postscript file: hints.ps

Some comments

There are many books on quantum field theory varying from very elementary to very mathematical. The course book tends to do calculations in more detail than most other quantum field theory books. Here are some others

Warren Siegel, Fields, freely available on arXiv as hep-th/abs/9912205
R. E. Borcherds, A. Barnard, Lectures on Quantum Field Theory, freely available as math-ph/0204014, 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 more
Itzykson and Zuber, Quantum Field Theory, the book I learned a lot from
Ramond, Field Theory, a modern primer, a purely pathintegral based approach
L. Alvarez-Gaume and M. Vazquez-Mozo, Introductory lectures on quantum field theory, hep-th/0510040, a recommended read.

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 hep-th/9803075. A shorter discussion by Steven Weinberg is hep-th/9702027

Solutions on the web

I haven't found any yet but they do probably exist if you look hard enough.

Johan Bijnens (bijnens@thep.lu.se)

Last changed: June 2011