INTERACTING SOLUBLE FERMI SYSTEMS IN ONE-DIMENSION

The Luttinger and the Mattis models are two exactly soluble models describing interacting fermions in one dimension. The recent, increasing interest in these models motivates our rigorous derivation of explicit general formulae for their n-fields Schwinger functions. Such formulae are not known in the literature. We study also the asymptotic behaviour of Schwinger functions for large values of coordinates. The behaviour of some response functions of physical interest for small momenta is also obtained.