
Feynman's Formulation of Quantum Field Theory
 QM Amplitudes as a Sum over Paths
Light reading:

Cvitanović:
Path integrals, and all that jazz.
 (preliminary, lecture notes:
Please print the bare minimum 
needs lots of editing).

Cvitanović: Field Theory chapters 1, 2
Exercises, due Tue 28, 2003:

problem 1.6 
Fresnel integral:

problem 1.7 
Stationary phase approximation:

problem 1.8 
Sterling's formula:
in Predrag's lecture notes (postscript gzipped) on
Path Integrals: please print out the problem set page now, the text will
change again soon.

problem 23.13 
ddimensional Gaussian integral:
Suggested reading:

Peskin: Chap 9  Functional Methods

Brown: Chap 1  Functional integrals
(Very clear)

Greiner & Reinhardt,
example 11.2: Weyl ordering for operators

Greiner & Reinhardt,
exercise 11.1: Path integral for a free particle

Schwinger/Feynman Formulation of Field Theory
If you want to relax by listening to diagrammatic, Predragian
vision of field theory, I will cover the material in chapters 23 of
Field Theory
in n lectures, n unknown.
The exposition assumes no prior knowledge of anything (other
than Taylor expansion of an exponential, taking derivatives,
and inate knack for doodling).
The techniques covered apply to QFT, Stat Mech and stochastic processes.

Exercises
due Thu, Feb 6 2003

Exercises
due Tue, Feb 11 2003

Reading
for Thu, Feb 13 2003

Exercise
due Tue, Feb 18 2003

Reading
for Tue, Feb 25 2003

Exercises
due Tue, Feb 25 2003

Reading,
what you need to know about fermions
for Thu, Feb 27 2003

Exercises
due Tue, Mar 11 2003

Reading
due Thu, Mar 13 2003

Exercises
due Tue, Mar 18 2003

Exercises,
Dirac spinor exercises,
due Tue, Mar 25 2003

Renormalization

Reading
due Tue, Apr 1 2003

Exercises
due Thu, Apr 3 2003

Reading
due Tue, Apr 8 2003

Exercises
due Tue, Apr 15 2003
Final exam: takehome  start 9AM Apr 28 2003.
Goals:
We work through the 1loop renormalization for the phi^3 scalar field theory,
in order to verify to the lowest order the general renormalization theory
developed in the last part of the course. We also learn how to use dimensional
regularization in order to evaluate explicitely the divergent integrals.
Required:
problem (1) Dimensional analysis
problems (2) (3) (6) (7) (8)
Browny points:
problems (4) (5) (9) (10)
Due no later than Thursday May 1 2003 at 11:00, Predrag's office.
Solution:
a very nice set of 20022003 lecture notes on phi^3 field theory by
Mark Srednicki, UC Santa Barbara.
The exam consisted in checking Chapters 13, 14 and 16 of Srednicki lecture notes. Everybody aced it, but that does not mean an A in the
course for the problem sets laggards.
Moral lesson:
Today even crackpots use LaTeX, and everything looks like a god given truth. As a physicist you should not believe
anything that you cannot check, especially if your work depends on it. I gave you a wrong
formula for the
surface of a sphere
(it gives S_2 = 1/(2 \pi), for example), and nobody checked whether if made sense for cases you know.
My suggestion to use Schwinger rep rather than Feynman rep was not helpful either.
Appologies
Starting fall I will go through the entire
classical and quantum chaos webbook in 2 semesters  this too will turn out to be
a form of field theory, not any less beautiful than what we learned this semester. Hope you rejoin me.
Have a good summer!
References

An Introduction to Quantum Field Theory,
M.E. Peskin and D.V. Schoeder
(Addison Wesley, Reading MA, 1995).

Path integrals, and all that jazz,
P. Cvitanović
(preliminary unedited notes are here:
Please send me your edits!)

Field theory,
P. Cvitanović.

Group
theory,
P. Cvitanović.

Quantum Field Theory,
L.S. Brown
(Cambridge University Press, Cambridge 1992).

Field Quantization,
W. Greiner and J. Reinhardt
(SpringerVerlag, Berlin 1996).