Fall 2006 Tuesdays and Thursdays from 17:30 to 18:45 in room 184

The course is designed for graduate students in physics, especially
those in optics, condensed-matter, astro, or particle physics.
It will discuss the quantum theory of fields with an emphasis on
quantum electrodynamics.
The principal topics will be:

Relativistic Quantum Mechanics

Scattering and the Cluster-Decomposition Principle

Quantum Fields and Antiparticles

The Feynman Rules

The Canonical Formalism

Quantum Electrodynamics

Path-Integral Methods

The Standard Model

The textbook is *The Quantum Theory of Fields,*
Vol. I: Foundations, by Steven Weinberg (Cambridge University Press
1995,
reprinted with corrections 1996, 1998, 1999, 2000, 2002, 2003, &
2004
& 2005, ISBN 0-521-55001-7).
The bookstore will carry it
but probably at a high price
and in an old printing,
so I suggest ordering it elsewhere, such as
**Amazon**.
For those who have an earlier printing of this book
or of volumes II and III, here are my files of typos
for **volume I**,
**volume II**, and
**volume III**.

The first chapter of Weinberg's book
is on the history of quantum field theory.

Students should read this chapter
before or shortly after the start of classes.

**Here** and
**here** and
**here** and
**here** and
**here** and
**here**
are my notes for chapters one and two.

**Here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here**
are my notes for chapter three.

**Here** and
**here** and
**here**
are my notes for chapter four.

**Here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here**
are my notes for chapter five.

**Here**
is what is intended to be a pedagogical article
about spin-one-half fields.

**Here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here** and
**here**
are my notes for chapter six.

**Here** are some
remarks on the momenta of internal lines in
Feynman diagrams.

**Here** is a
solution to problem 6.2.

**Here**
are my notes on functional derivatives.

The course grade will be based entirely (and generously) on the homework assignments.

Homework: Do problems 2.1 and 2.2 by September the 12th.
Also, show that the special L(p) defined by Eq.(2.5.24) is a Lorentz
transformation, that is, it satisfies
Eq.(2.3.5).
Also, prove Eq.(2.5.31).
Also, let p_x = (p,0,0,p^{0}) be a momentum in the x-direction.
Suppose Ψ_{p_x} = |p_x> is a state of a spin-zero particle
moving in the x-direction. To lowest order in the small angle a,
find (Ψ_{p_x}, exp(ia J_{3}) P^{i} exp(-ia J_{3})
Ψ_{p_x}), which will be proportional to δ^{3}(0).
Solutions to problems 2.1 and 2.2.

Homework: Do problem 3.1 by September the 21st. Solution to problem 3.1.

Homework: Do problem 6.1 by midnight on Hallowe'en --
or is that too soon? Solution to
problem 6.1.