Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to determine SU(3) multiplicity in beta function

  1. Jun 20, 2013 #1
    Hello,

    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).

    [itex]\frac{11}{3}[/itex](3)-[itex]\frac{2}{3}[/itex](F[itex]_{L}[/itex])-[itex]\frac{2}{3}[/itex](F[itex]_{R}[/itex])

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted