Dynamical generation of mass in a two-dimensional model

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Abstract
The chiral invariant Gross-Neveu model is a field theoretic model in two-dimensional space-time which exhibits dynamical generation of mass in conjunction with asymptotic freedom. By exploiting the Bethe-Ansatz technique, it has been possible to diagonalize exactly the Hamiltonian, classify the physical states and extract the factorizable S-matrix of the model. The present article, primarily a pedagogical introduction to the topic, is an expanded version of an invited talk given at the January, 1981, meeting of the American Physical Society, in New York.