Thirring model. Asymptotic fields and $S$ matrix $\pm2\pi\surd{\overline{2n}}$, $n=0,1,2,\dots$

Asymptotic fields and the $S$ matrix are constructed in the Thirring model. It is shown that asymptotic fields exist only if the interacting field is a densely defined bilinear form. For this bilinear form Lorentz covariance is proved and also that the spectral condition holds for the generators of space-time translations. It is shown that locality holds formally only for a coupling constant equal to $\pm2\pi\surd{\overline{2n}}$, $n=0,1,2,\dots$