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We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case. By this extension we expect that we can expose more general structures of this kind of model. We obtain the equivalent boson model with N species to our fermion model. We find that the coupling constant must be set in some regions in order for the model to be physically sensible. It seems hard to find such regions from direct obsavation of the original fermion model. We also find that for specific values of the coupling constant some of the boson fields disappear from the system. Therefore, the N-species fermion model is described by the boson model with fewer species., Comment: 8 pages, no figure, ptptex

We study a massive Thirring-like model in 2-dimensional space-time, which contains two different species of fermions. This model is a field theoretical version of the quantum mechanical model originally proposed by Gl\"{o}ckle, Nogami and Fukui, where different fermions interact with each other through $\delta$-function potentials. We derive a corresponding boson model by the bosonization technique in the path integral formulation. This is a simple but non-trivial extension of the freedom of the bosonization technique. Operator correspondences between fermion and boson fields are given. One of these could not be realistically expected from the naive correspondence of the original single-species models. It is essential for this point that in our model fermions of the same kind do not interact with each other directly. We find that for a specific value of the coupling constant, one boson field becomes free while the other is a Sine-Gordon field. For this case, therefore, our two-species model is equivalent to the ordinary Sine-Gordon model of a single boson field., Comment: Latex file, 11pages, no figure, needs ptptex.sty