MWF 10:00-10:50,
North Hall 1109
Instructor:
Joe Polchinski, joep@kitp.ucsb.edu
Office hours: Thurs., 3:30 - 4:30, KITP 2319
TA: Richard Eager,
Office hours Monday: 2-3, Wednesday: 3-4, Friday: 11-12
Final Exam:
Available Noon Weds. here (and
at KITP
2319), Due Noon Thurs. at KITP
2319. Open Srednicki, Peskin & Schroeder,
Weinberg, notes, homeworks, solutions. Apologies:
the exam was not posted until 12:10, so feel free to take 10 extra
minutes!
Mathematica
- change of policy: I don't think you need it, but I would rather you
use it than waste time on mindless algebra. However, I will give
extra credit for a nice
analytic solution, which is possible in, e.g., problem 2.
Corrections:
In problem 1, g' has different units from g_2 so they can't be equal! Leave the answer in terms of g'.
On problem 2, the
momentum should not be perpendicular
to the 3-direction -
that is, k_3 is not zero.
The problem asked that it not be parallel.
In fact, when you look for the eigenvalues of M, I suggest that
you boost to a frame in which k_1 = k_2 = 0 --- but explain why you can
do this without messing up A_3 = 0.
Problem 4 is in 4 dimensions, in case that is not clear. I will
be impressed if anyone gets close to the whole thing. Start by
doing a smaller part as carefully as possible - such as the term with
two g-vertices and no g'-vertices.
Also problem 4 - I left the m^2 out of the propagator that I gave you.
I will follow selected chapters from Srednicki, Quantum Field Theory for most of the quarter. The textbooks by Weinberg and by Peskin & Schroeder provide useful additional perspectives on many subjects. Last 4 lectures: Sidney Coleman's Erice lecture on 1/N.
Homework
#1 Note: in problem 5, you want Landau gauge, not Feynman (in
Feynman gauge there is a gauge piece). Thanks to Matt Block.
Homework #2
PS 6.3
Note: in probs. 2 and 3, assume four dimensions. In prob. 3,
`problem 3 of the last set' should be `problem 2 of this set.'
Homework #3
Homework #4
Homework #5
Prob. 2
diagrams
Homework #6
PS 19.1
Homework #7
Homework #8
Homework #9
A short assignment.
Solutions
#1 Note: the solution to prob.
5
is a bit more complicated than necessary because Richard did not use
MS-bar, I should have specified that. (The precise technical
point is that the Callan-Symanzik equation holds only in a scheme in
which the Z's do not depend on the masses; otherwise, things are more
complicated.)
Solutions
#2
Solutions
#3
Solutions
#4
Solutions
#5 (correct version now posted)
Solutions
#6 See also: Note from Joe
Solutions
#7 Note : solution to
two-Higgs potential is from a longer problem that had more parts.
Solutions
#8 (partial) Note: the W-decay
should have factors |V_{ud}|^2, |V_{us}|^2, |V_{ub}|^2; the Z-decay 1,
1, 0 (there is no Zds vertex).
Solutions #9