I'm familiar with some of the physics involved, and here's the story.Farsight wrote:Read what I told you to read. Guiduce says the Higgs sector is arbitrary. Basically he's saying it's the weakest part of the standard model. There's plenty of bona-fide physicists who aren't happy with it, who feel it diminishes the standard model, and feel uncomfortable with the overhyped Higgs boson "mystery of mass" moonshine because
the Higgs mechanism accounts for 1 per cent of the mass of ordinary matter.
The "MIT bag model" treats a nucleon as three non-interacting valence quarks and a sea-quark/gluon sea with constant density, all in a sphere. Here's what one gets, in terms of radius R:
M = c0/R + c1*mq + B*R3
where c0 and c1 can be calculated from the bag model, and are roughly on order 1. mq is the sum of the valence quarks' rest masses, measured at energy scales of the quarks' kinetic energy. Electromagnetic contributions are approximately (alpha)/R, and on the order of the quarks' masses, a few MeV. This is much less than the quarks' kinetic energies, meaning that the quarks can be treated as well in the relativistic range of kinetic energies.
It's rather easy to show that the mass splits up (3/4) valence quarks and (1/4) gluons and sea quarks. Simplify the expression:
M = c/R + B*R3
Find the radius that minimizes the mass by finding when dM/dR = 0:
dM/dR = - c/R2 + 3*B*R2
This yields B*R4 = c/3
or M = c/R + (1/3)*(c/R) = (4/3)*(c/R)
There are some complications, like the fact that the delta baryons are also composed of up and down quarks, but with spin 3/2 and mass around 1232 MeV. Compared to the nucleons' average mass of about 937 MeV, this gives a hefty hyperfine splitting of 300 MeV. Doing quantum-mechanical spin arithmetic yields a before-hyperfine mass of about 1084 MeV. So the nucleon mass splits up as:
Valence-quark kinetic energy: 813 MeV
Sea quarks / gluon sea: 271 MeV
Quark-quark hyperfine: -148 MeV
Thus, nearly all our mass, and of baryonic matter in general, is due to valence-quark kinetic energy. These quarks get their energy from confinement -- they cannot get much more than 10-15 m without the QCD force between them getting very strong.