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Goldstone theorem help

  1. Jan 1, 2012 #1
    goldstone theorem help!!

    1. The problem statement, all variables and given/known data

    Using goldstone theorem how can I calculate number of massless gauge bosons and massless scalars?
    where G1 = SO(2) ∼ U(1) is the global symemtry, and G2 = SU (4) ∼ SO(6) is the gauge symmetry, and G1 ×G2 is completely broken.

    2. Relevant equations

    dimensions of SU(n)= n^2-1
    dimensions of SO(n)=(n(n-1))/2
    3. The attempt at a solution
    dimensions of G1 and G2
    G1= 1
    G2=15

    so I know we have n-m massless scalars and I think G2=m and G1xG2=n

    so m=15 n=16

    therefore

    I think we have 1 gauge boson from n-m

    and 15 massless scalars from n?

    is this close to being right?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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