Scattering theory and1Nexpansion in the chiral Gross-Neveu model

We show how to establish the scattering theory of the chiral Gross-Neveu model in terms of a massive field with generalized statistics. It is in terms of this field that the property of antiparticles being bound states of particles is consistently formulated. We also employ an auxiliary local Fermi field in order to develop an infrared-regular $\frac{1}{N}$ expansion. The connection between these two fields is discussed.