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In QCD, there is an SU(3) color symmetry for each flavor of quark as well as an SU(3) flavor symmetry for $u, d, s$ (although the latter is approximate). Why is there a gauge field for the SU(3) color symmetry but no gauge field for the SU(3) flavor symmetry? Put it more generally: What kind of symmetry has a gauge field and what kind of symmetry does not have a gauge field?

In QCD, there is an SU(3) color symmetry for each flavor of quark as well as an SU(3) flavor symmetry for $u, d, s$ (although the latter is approximate). Why is there a gauge field for the SU(3) color symmetry but no gauge field for the SU(3) flavor symmetry?

In QCD, there is an SU(3) color symmetry for each flavor of quark as well as an SU(3) flavor symmetry for $u, d, s$ (although the latter is approximate). Why is there a gauge field for the SU(3) color symmetry but no gauge field for the SU(3) flavor symmetry? Put it more generally: What kind of symmetry has a gauge field and what kind of symmetry does not have a gauge field?

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Shen
Shen
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Color symmetry and flavor symmetry in QCD

In QCD, there is an SU(3) color symmetry for each flavor of quark as well as an SU(3) flavor symmetry for $u, d, s$ (although the latter is approximate). Why is there a gauge field for the SU(3) color symmetry but no gauge field for the SU(3) flavor symmetry?