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How to determine SU(3) multiplicity in beta function

  1. Jun 20, 2013 #1

    I was given this formula to find the beta values for U(1) SU(2) and SU(3). I am having trouble with SU(3).


    I don't know what the two fermion terms are... I know they will only be the quarks. I am trying to multiply by 3 twice, but it doesn't seem to be the right answer. The up[itex]_{R}[/itex] is multiplied by 3 and again by 3 for RGB and generations? Same for down[itex]_{R}[/itex]? And then the pair of Q[itex]_{L}[/itex] has what multiplicity? It's the multiplicity that is confusing me, I think... any help would be appreciated!
  2. jcsd
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