On the conformal transformations in the massless Thirring model

On the basis of solutions for the massless scalar field in two space-time dimensions obtained in a previous paper, the field satisfying the renormalized Thirring equation is constructed. Both infinitesimal and global transformations with respect to the two-dimensional conformal group for these field is obtained. The latter do not coincide with the standard ones. The renormalized Thirring equation is proved to be covariant under infinitesimal conformal transformations as well as under the global transformations belonging to the representations of the universal covering of the conformal group.