Hi,
I'm reading Quantum Field Theory in a Nutshell by A. Zee, which is excellent but it is occasionally difficult to fill in the blanks on one's own.
Once such place is the integration of the Hopf term, which results from integrating out the gauge field in a Lagrangian with a Chern-Simons...
Hi kosovtsov, many thanks for your reply!
First, thanks for pointing out my error, I should have said both \lambda and \mu approach zero - this gives the sys2 from my original post. My apologies for the confusion, I got mixed up because the notation is slightly different between the article...
Investigating a dyon within a SU(2) Yang-Mills theory coupled to a Higgs field, the following differential equations arise (Julia and Zee, Phys. Review. D, 11:2227, 1975):
r^2J'' = 2JK^2
r^2H'' = 2HK^2 - \mu^2r^2H(1 - \frac{\lambda}{e^2\mu^2r^2}H^2)
r^2K'' = K(K^2 - J^2 + H^2 - 1)
The BPS...
(continuation of original post)
The Attempt at a Solution
That is actually the main point of the exercise, that A_1 and A_2 are divergent but because of these relations one need only calculate A_3, A_4, and A_5.
Fair enough. But in trying to actually calculate any of these, rationalizing the...
Homework Statement
I'm working my way through Quantum Field Theory in a Nutshell by A. Zee. I'm religiously doing the exercises but since I'm doing it on my own (I'm not in school) I have no one to ask when I get stuck. Any hints would be appreciated.
The problem is IV.7.5, on page 253 of...