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What happens to conserved currents after spontaneos symmetry breaking?

  1. Jul 17, 2012 #1
    should the current still be conserved? since it stills commutes with the Hamiltonian and symmetry is just hidden.

    but I just read that the linear-σ model was invented to demonstrate how the axial current could be partially conserved?

  2. jcsd
  3. Jul 18, 2012 #2


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    the axial current is not conserved due to the chiral anomaly; that's different from chiral symmetry breaking, b/c for spontaneous symmetry breaking the full charge operator still commutes with the Hamiltonian H, i.e. [H,Q] = 0, whereas for an anomaly the (renormalized) operator doesn't, i.e. [H,QA] ≠ 0!

  4. Jul 18, 2012 #3


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