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

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?

    Thanks!
     
  2. jcsd
  3. Jul 18, 2012 #2

    tom.stoer

    User Avatar
    Science Advisor

    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!

    http://en.wikipedia.org/wiki/Chiral_anomaly
     
  4. Jul 18, 2012 #3

    DrDu

    User Avatar
    Science Advisor

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




Similar Discussions: What happens to conserved currents after spontaneos symmetry breaking?
Loading...