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Singlets and Doublets in SU(2)

  1. Mar 7, 2012 #1
    Hi, this is probably very simple.

    1) What is the product of two singlets?
    2) What is the product of two singlets and a doublet?

    It looks like (2) breaks SU(2) symmetry and (1) doesn't, but I don't really understand why =/.

    Any help would be appreciated,

    Thanks!
     
  2. jcsd
  3. Mar 8, 2012 #2
    Any representation remains the same when taking a product of it and a singlet


    1) A singlet

    2) A doublet

    any non singlet which has a non zero expectation value in the vacuum of the theory breaks the SU(2) symmetry.
     
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