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How to reduce symmetry

  1. Jul 17, 2006 #1
    Dear PF,

    I dont know whether this is the right place for such question, but
    how to reduce symmetry suppose from SU(2) symmetric Lagrangian down to U(1)?

    Thank you
  2. jcsd
  3. Jul 17, 2006 #2
    You can't. If you let the Higgs doublet acquire an VEV in a SU(2) invariant theory, you break the entire SU(2) symmetry and end up with with three massive gauge bosons.

    You can however break down SU(2)xU(1) to a (nontrivial) subgroep U(1). This is what is done in the Electroweak theory.
  4. Jul 18, 2006 #3
    Thank you Dimitri
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