We consider a theory described by the Lagrangian,
L=iˉΨγμ∂μΨ−mˉΨΨ+12g(ˉΨΨ)2
The corresponding field equations are, (iγμ∂μ−m+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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