Monday, June 23, 2014

quantum field theory - Could this model have soliton solutions?



We consider a theory described by the Lagrangian,


L=iˉΨγμμΨmˉΨΨ+12g(ˉΨΨ)2


The corresponding field equations are, (iγμμm+gˉΨΨ)Ψ=0


Could this model have soliton solutions? Without the last term, it is just a Dirac field (if g=0), but it has to be included. This is similar to the Thirring model. I was looking for this field in books and papers but I haven't found it. If you know about it could you give me any reference?




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