Theory of Wightman functions in the thirring model

Some properties of the solution of the Thirring model obtained in the earlier papers [1,2] are discussed. The Thirring field acts in the Fock space of a free scalar field of zero mass. The Wightman functions are found explicitly. It is shown that in the limit $\mu\to0$ the gauge symmetries of the model, which are spontaneously broken for $\mu\ne0$, are restored, and the field acquires a definite spin and scale dimension. The correspondence with the $2n$-point functions of Klaibe's solution is established. It is shown that for integral and half-integral values of the spin the usual connection between spin and statistics arises.