Quantum Field Theory Course QFT10X

About me

My name is Patrick Van Esch, and I'm following a course on quantum field theory.  That's why I've set up this web page, to share some material with my co-students.  I'm not so very fond of publishing a lot of personal stuff, so I'll keep this short.  You can always e-mail me.

Course information

In fact, all this is old stuff now. The course is long over, but I keep the material here for reference.

The course was given on this site.  The book used in the course was An introduction to Quantum Field Theory by Peskin and Schroeder.

Personal contributions

Summary of the chapters


chapter 2: The Klein-Gordon Field
chapter 3 The Dirac Field:
chapter 4: Interacting Fields and Feynman Diagrams
chapter 5: Elementary Processes of Quantum Electrodynamics
chapter 6: Radiative Corrections: Introduction

chapter 7: Radiative Corrections: Some Formal Developments
chapter 9: Functional Methods
chapter 10: Systematics of Renormalisation
chapter 11: Renormalisation and Symmetry
chapter 12: The Renormalization Group
chapter 15: Non-Abelian Gauge Invariance
chapter 16: Quantization of Non-Abelian Gauge Theories (partial)
chapter 17: Quantum Chromodynamics

Solutions to exercises

I used Mathematica to write up the solutions of the exercises, but in most cases just as a typesetting tool.  In order to view these pages, you need Mathematica which is (unfortunately) a commercial product. However, there is a free viewer for these documents, called MathReader.  Other pages have been produced by MikTeX (a LaTeX product) into pdf files.  

Contributions to QFT101:
Problem 2.1 notebook
Problem 2.3 notebook

Problem 3.1 notebook
Problem 3.3 notebook
Problem 3.4: p1, p2, p3, p4, p5
Problem 3.5:   p1, p2, p3, p4, p5 , p6
Problem 3.8: p1, p2
Problem 4.1:   p1, p2, p3, p4, p5 , p6
Problem 4.4 notebook
Problem 5.1 notebook
Problem 5.2:   p1, p2, p3, p4, p5
Problem 5.4:   p1, p2, p3, p4, p5, p6
Problem 5.5:   p1, p2, p3, p4, p5, p6,p7, p8, p9, p10, p11, p12,p13, p14, p15
Problem 6.1:   p1, p2, p3 as handwritten pages and a notebook .
Problem 6.2 partial solution (possibly with errors !)

Contributions to QFT102:
Problem 15.1  notebook
Problem 15.2  notebook

Problem 15-5 (PDF format)


Mathematica stuff

I've written (and I'm writing) some accompagning stuff in Mathematica, this time to really use the software.  You can also view these notebooks with the MathReader, but it makes less sense, because it is code that should be executed.

wick4 is a mathematica worksheet still in devellopment, that applies Wick's theorem to several theories, phi-4, Yukawa and QED.