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Domain wall question

  1. Dec 1, 2015 #1
    So I have learned that an interaction term in a Lagrangian like: L= kρσ
    can result in "domain wall" problems between the fields ρ and σ.

    I imagine this means that it can result in particles spontaneously changing mass, spin, or some other property, violating conservation laws. Is that why this is a problem, or is there some other issue?

    Is this sort of thing akin to a B-L sphaleron?

    Is this in any way related to neutrino oscillation, or theoretical possibility that a muon oscillates into an electron without producing any other decay products?
     
    Last edited: Dec 1, 2015
  2. jcsd
  3. Dec 2, 2015 #2
    a very good question! or questions. Maybe @fzero has an answer.
    I can only give a hint to this problem, because I'm not sure how to solve and if I'm right.

    If we have a theory with a M background, then it must be covariant like in the superspace and then the Lagrangian does not contain non dynamical-fields nor Lagrange multipliers.
    But I think @fzero is able to explain it much better.
     
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