Soliton solutions of the massive Thirring model and the inverse scattering transform

Classical solutions of the massive Thirring model are found that describe the fermion constituent solitons of multisoliton solutions of the sine-Gordon equation. The construction of these fermion solutions is based on the inverse scattering transform for the sine-Gordon equation. It is shown that the equations of the inverse scattering formalism transform into the equations of the massive Thirring model through Coleman's correspondences between the two theories. The charge structure associated with multisoliton solutions is made very explicit by these correspondences. The 1-soliton, 2-soliton, and breather cases are discussed in detail