In the Wikipedia entry for the Gross–Neveu model, it is said that
If one takes $N=1$ (which permits only one quartic interaction) and makes no attempt to analytically continue the dimension, the model reduces to the massive Thirring model (which is completely integrable).
But the aditional term in the Thirring model is $$\frac{g}{2}\left(\overline{\psi}\gamma^\mu\psi\right) \left(\overline{\psi}\gamma_\mu \psi\right).$$ I think this is different from $\frac{1}{2}g \left(\overline{\psi} \psi\right)^2$, the additional term of the Gross–Neveu model. So I think Wikipedia is wrong. Am I right?
If you do not mind, I would like that you respond to this question also: Could this model have soliton solutions?
Thanks in advance.