May 3 2003
QUANTUM FIELD THEORY
|PHYS-7147 Jan 7 - Apr 24 2003||Spring 2003|
|TR 09:35-10:55a in Howey S204||Predrag Cvitanović|
|They act so cute when they try to understand Quantum Field Theory.|
For people following the course, check the e-mail list.
We work through the 1-loop 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.
problem (1) Dimensional analysis
problems (2) (3) (6) (7) (8)
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 2002-2003 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.
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.
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!