If y've read Wilczek's book (Daney can help understand chapter 8)
If you've read LoB and, as I do, see chapter 8 as the heart of the book presenting the main ideas, you may want some supplementary material on the Higgs mechanism to help in understanding what Wilczek is saying. I'd recommend browsing a bit in Charles Daney's website "open questions". He is a gifted and hardworking science writer with a lot of stuff online. Just go to openquestions.com and look at the site map--some of what is there may be useful to you.
As a sample excerpt, here is a portion from his page on the Higgs mechanism:
http://www.openquestions.com/oq-ph008.htm
==excerpt from Open Questions Higgs page==
The Higgs mechanism
Let's review where we stand so far.
* We have a nice, well-behaved (i. e., mathematically consistent, renormalizable) Yang-Mills gauge theory of the electromagnetic force, based on U(1) gauge symmetry.
* We would like to have an equally nice Yang-Mills gauge theory of the weak force, and it should be based on a SU(2) symmetry.
* Experimentally, it is known that the particles which mediate the weak force are massive, instead of massless as required in a Yang-Mills theory.
* The electromagnetic and weak forces are intertwined, because the weak SU(2) symmetry exchanges particles that have different amounts of electric charge.
* Yet any potential symmetry between electromagnetic and weak forces can't be exact, since the forces have different strengths.
A series of profound insights by Sheldon Glashow, Steven Weinberg, and Abdus Salam, mostly as independent contributions, led to the unified theory of the electroweak force. This was accomplished by taking the above givens, making a few inspired assumptions, and synthesizing everything in a new -- and quite effective -- way.
The insights were as follows:
1. Most of the theoretical difficulties result from the existence of nonzero rest masses of the various particles. The masses break the symmetry between electrons and neutrinos (and other particle pairs), they are incompatible with a straightforward Yang-Mills gauge theory, and they are the root of the problems with renormalizability.
2. At very high energies, the energy contributed by a particle's rest mass becomes insignificant compared to the total energy. So at sufficiently high energy, assuming a particle rest mass of zero is a very good approximation.
3. A consistent, unified Yang-Mills theory of electromagnetism and the weak force can be formulated for the very high energy situation where particle rest masses are effectively zero.
4. At "low" energies (including almost all levels of energy which are actually accessible to experiment), the symmetries of the high energy theory are broken, and at the same time most particles acquire a nonzero rest mass. These two "problems" appear simultaneously when symmetry is lost at low energy, much as symmetry is lost when matter changes state from a gas to a liquid to a solid at low temperature.
The "Higgs mechanism" is basically nothing more than a means of making all of this mathematically precise.
The key ingredient not yet specified is to assume there is a new quantum field -- the Higgs field -- and a corresponding quantum of the field -- the Higgs particle. (Actually, there could be more than one field/particle combination, but for the purposes of exposition, one will suffice.) The Higgs particle must have spin 0, so that its interaction with other particles does not depend on direction. (If the Higgs particle had a non-zero spin, its field would be a vector field which has a particular direction at each point. Since the Higgs particle generates the mass of all other particles that couple to it, their mass would depend on their orientation with respect to the Higgs field.) Hence the Higgs particle is a boson, a "scalar" boson, since having spin 0 means that it behaves like a scalar under Lorentz transformations.
The Higgs field must have a rather unusual (but not impossible) property. Namely, the lowest energy state of the field does not occur when the field itself has a value of zero, but when the field has some nonzero value. Think of the graph of energy vs. field strength has having the shape of a "W". There is an energy peak when the strength is 0, while the actual minimum energy (the y-coordinate) occurs at some nonzero point on the x-axis. The value of the field at which the minimum occurs is said to be its "vacuum" value, because the physical vacuum is defined as the state of lowest energy.
This trick wasn't created out of thin air just for particle theory. It was actually suggested by similar circumstances in the theory of superconductivity. In that case, spinless particles that form a "Bose condensate" also figure prominently.
The next step is to add the Higgs field to the equations describing the electromagnetic and weak fields. At this point, all particles involved are assumed to have zero rest mass, so a proper Yang-Mills theory can be developed for the symmetry group U(1)xSU(2) that incorporates both the electromagnetic and weak symmetries. The equations are invariant under the symmetry group, so all is well.
Right at this point, you redefine the Higgs field so that it does attain its vacuum value (i. e., its minimum energy) when the (redefined) field is 0. This redefinition, at one fell swoop, has the following results: the gauge symmetry is broken, the Higgs particle acquires a nonzero mass, and most of the other particles covered by the theory do too. And all this is precisely what is required for consistency with what is actually observed.
In fact, the tricky part is to ensure that the photon, the quantum of the electromagnetic force, remains massless, since that is what is in fact observed. It turns out that this can be arranged. In fact, the photon turns out to be a mixture of a weak force boson and a massive electromagnetic boson that falls out of the theory. The exact proportion of these two bosons that have to be mixed to yield a photon is given by a mysterious parameter called the "electroweak mixing angle". It's mysterious, since the theory doesn't specify what it needs to be, but it can be measured experimentally.
So, the Higgs mechanism is a clever mathematical trick applied to a theory which starts by assuming all particles have zero rest mass. This is especially an issue for the bosons which mediate the electroweak force, since a Yang-Mills theory wants such bosons to be massless. While the photon is massless, the W and Z particles definitely aren't. Where, then does their mass come from? Recall that we observed that spin-1 bosons have 3 "degrees of freedom" if they are massive, while only 2 otherwise. It turns out that this extra degree of freedom comes from combining the massless boson with a massive spin-0 Higgs boson. That Higgs boson provides both the mass for the W and Z, as well as the extra degree of freedom.
In fact, the mechanism furnishes mass to all particles which have a nonzero rest mass. This occurs because all the fermions -- quarks as well as leptons -- feel the weak force and are permuted by the SU(2) symmetry. And since quarks acquire mass this way, so too do hadrons composed of quarks, such as protons and neutrons, which compose ordinary matter as we know it.
But this mechanism is more than just a trick. If the whole theory is valid, then the Higgs boson (or possibly more than one), must be a real, observable particle with a nonzero mass of its own. This is why the search for the Higgs boson has become the top priority in experimental particle physics.
What about renormalizability? Has this been achieved in spite of all the machinations? It seemed plausible that the answer was "yes", which was of course the intention, since the high-energy form of the theory has the proper gauge symmetry. But it took several years until a proper proof could be supplied, in 1971, by Gerard 't Hooft.
Supersymmetry
It should be pretty clear by now that Higgs physics is very much tied into the standard model. Indeed, it's necessary in some form to make sense of many features of the standard model -- such as electroweak symmetry breaking and particle masses. In fact, it -- or something very like it -- seems to be necessary just to make the theory consistent.
And yet it's not quite a part of the standard model either. It has a bit of an ad hoc feel to it. If, in fact, the Higgs mechanism exists in more or less the form outlined here, then the standard model certainly has no explanation for why it's there, for what makes it happen. We shall want more than that. We want to know the source of the Higgs physics itself.
There may be a number of ways to do that (which might be related among themselves). But there is one body of theory which can provide exactly the explanation of Higgs physics we're looking for, and which has been in gestation since the early 1970s (i. e., since the time the standard model assumed its present form). It's called supersymmetry. ...
==endquote==
and at that point he moves on to talk some about SUSY. Go to the Daney site to read more. Thanks to Wolram for alerting us to Open Questions as a resource.