Abstract
The ideas developed in Part I (ref. [1]) are applied to the recently constructed massive Gross-Neveu model. We define in this case an irreducible kernel satisfying a regularized Bethe-Salpeter equation which is convenient to derive asymptotic completeness in the 2-particle region. As in Part I, the method allows direct graphical definition of general irreducible kernels and is well suited to the analysis of asymptotic completeness and related results in more general energy regions.
A large part of the paper is devoted to a new self-contained construction (via phase space expansion) of the Gross-Neveu model. The presentation is somewhat simpler than previous ones, is more complete on some points and is best suited to our purposes.
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Communicated by K. Osterwalder
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Iagolnitzer, D., Magnen, J. Asymptotic completeness and multiparticle structure in field theories. Commun.Math. Phys. 111, 81–100 (1987). https://doi.org/10.1007/BF01239017
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DOI: https://doi.org/10.1007/BF01239017