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arivero
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Can anyone provide a pointer to the exercise of higgs breaking SU(3)xSU(2)xU(1) down to SU(2)? I expect it to be solved somewhere in the web...
BenTheMan said:It should be pretty easy. What is it, exactly, that you're interested in?
arivero said:First, to check I am guessing it right. The Higgs content, etc. And what happens with U(1): do we forcefully get the nonchiral U(1) of electromagnetism, or does it depend of the breaking?
As you say, it is easy and one could expect to find it in some web of solved QFT exercises.
My long shot is to relate the breakings with the compactifications of extra Kaluza Klein dimensions. I would expect Standard Model ---> SU(2) to correspond with a compactification from dimension 10 or 11 to dimension 6.
Barmecides said:Hello,
don't you have similar example from dynamical breaking of chiral QCD ?
SU(3)xU(1) breaking exercise is a theoretical exercise in particle physics that involves breaking the symmetry of the special unitary group SU(3) and the unitary group U(1). This is done to explain the differences in mass and interactions of particles in the Standard Model.
SU(3)xU(1) breaking is important because it allows for the unification of three of the fundamental forces in nature - the strong, weak, and electromagnetic forces. It also helps to explain the masses of particles, which would otherwise be completely symmetric in the Standard Model.
SU(3)xU(1) breaking is achieved through the Higgs mechanism, which involves the spontaneous breaking of the symmetry of the Higgs field. This results in the generation of mass for particles and the formation of the Higgs boson.
The Higgs boson is crucial in SU(3)xU(1) breaking as it is responsible for giving mass to particles through the Higgs mechanism. It is also the only particle predicted by the Standard Model that had not been observed until its discovery in 2012 at the Large Hadron Collider.
Yes, there are several experimental implications of SU(3)xU(1) breaking. One of the most significant is the prediction of the existence of new particles, such as the W and Z bosons, which were later discovered in experiments. It also provides a framework for studying the behavior of particles at high energies and may lead to new discoveries in the future.