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?
This post imported from StackExchange Physics at 2014-06-25 21:06 (UCT), posted by SE-user Anthonny