PHYS 665,666
Quantum Field Theory
Winter Quarter and Spring Quarter 2001
These pages are from a two quarter course in quantum field
theory course, Phy 665, 666 offered at the University of Oregon in 2001. The course explored both relativistic
and nonrelativistic quantum field theory. The course
Phy 634, Advanced Quantum Mechanics, offered
in Fall Quarter, led into this course. The notes for that course are included below.
Instructor:
Text:
 An Introduction to Quantum Field Theory
 Michael E. Peskin and Daniel V. Schroeder
There are also printed notes, available below.
Homework:
There were problems assigned each week in class. For the most part, they are presented in the class notes.
Class notes available in Portable Document Format:

The Lorentz Group, Relativistic Particles, and Quantum Mechanics.
The classical construction of Eugene Wigner.
 The Dirac Field.
Everything you always wanted to know about gamma matrices and Dirac spinors.
 The SMatrix.
The definition of the scattering matrix, its expansion in timeordered perturbation theory, and its relation to the cross section.
 From Classical to Quantum Field Theory.
How classical mechanics and the classical hamiltonian is related to quantum mechanics. (Updated, 6 October 2010.)
 Free Scalar Field Theory.
The very simplest case of a quantum field theory.
 Interactions.
What happens if you add a self interaction to the scalar field. Feynman rules and the Smatrix.
 Fermions and the Dirac Field.
Nonrelativistic field theory for fermions, then how the interacting Dirac field works.
 Quantum Electrodynamics.
A real gauge quantum field theory.
 Renormalization of Quantum Electrodynamics.
Renormalization does more than just cover up singularities, as the renormalization group shows.
These notes are also available in Postscript format:
 The Lorentz Group, Relativistic Particles, and Quantum Mechanics.
 The Dirac Field.
 The SMatrix.
 From Classical to Quantum Field Theory.
 Free Scalar Field Theory.
 Interactions.
 Fermions and the Dirac Field.
 Quantum Electrodynamics.
 Renormalization of Quantum Electrodynamics.
Davison E. Soper, Institute of Theoretical Science,
University of Oregon, Eugene OR 97403 USA
soper@physics.uoregon.edu