How do 6 quarks manifest hiden SU(2) symmetry(together SU(3) symmetry)?

In summary, the conversation discusses the manifestation of broken symmetry SU(2) in lepton, specifically in the form of a state with mass (electron) and a state with nearly zero mass (neutrino). The same pattern is observed in the other two families of lepton. The question arises regarding the hidden SU(2) symmetry in the 6 quarks, given their electro-weak and strong interactions. The speaker also mentions the concept of "flavor" symmetry SU(2) in the 3 families of quarks.
  • #1
ndung200790
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Please teach me this:
It seem to me that lepton manifests broken symmetry SU(2) with couple electron and neutrino(electron is a state with mass,neutrino is a state with nearly zero mass).Similarly for 2 other families of lepton,we have a state with mass and a state with nearly zero mass.But I do not understand how does hiden SU(2) symmetry manifest with 6 quarks,because the hadrons have electro-weak interaction and strong interaction.
Thank you very much in advance.
 
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  • #2
At the moment I know that 6 quarks form 3 ''flavor'' families(example the couple up and down quarks is a ''flavor'' family) that manifest the ''flavor'' symmetry SU(2).Is that correct?
 

1. What are quarks and why are they important in understanding symmetry?

Quarks are elementary particles that make up protons and neutrons, which in turn make up atoms. They are important in understanding symmetry because they have a property known as "spin" which is related to their intrinsic angular momentum. This spin plays a crucial role in determining the symmetry of the strong nuclear force that binds quarks together.

2. What is SU(2) symmetry and how does it relate to quarks?

SU(2) symmetry is a type of symmetry in quantum mechanics that describes the behavior of particles with spin. In the case of quarks, SU(2) symmetry is related to the strong nuclear force that binds the quarks together. This symmetry allows for the exchange of two particles without changing the overall state of the system.

3. How does the SU(3) symmetry relate to the SU(2) symmetry in quarks?

SU(3) symmetry is a more general form of SU(2) symmetry that describes the behavior of particles with three or more components, like quarks. In the case of quarks, the SU(3) symmetry describes the interactions between the three types of quarks (up, down, and strange) and how they transform into each other through the exchange of particles known as gluons.

4. How do the 6 quarks exhibit hidden SU(2) symmetry?

The 6 quarks (up, down, charm, strange, top, and bottom) all have different masses and properties, but they are all still governed by the same SU(2) symmetry. This hidden symmetry is revealed through the interactions between the quarks and the strong nuclear force, which is described by the SU(2) symmetry.

5. Why is understanding the hidden SU(2) symmetry of quarks important?

Understanding the hidden SU(2) symmetry of quarks is important because it helps us to better understand the fundamental laws of nature that govern the behavior of particles. It also allows us to make predictions about the behavior of quarks and their interactions, which can then be tested through experiments and observations.

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