Abstract
Composite states of quasiparticles are studied in the frame of Bopp's quantum theory of elementary particles in a lattice space. By solving the homogeneous Bethe-Salpeter equations in the combined chain and ladder approximation the theory is found to contain a massless pseudoscalar particle (the Goldstone boson), a scalar particle of mass 2 m and an axialvector particle of mass 2 m - d, d > 0, where m is the mass of the quasiparticles and d a small quantity depending on the number of lattice points (or equivalently the cutoff). The method of summation of chain and ladder diagrams by means of the Fierz formula is treated in some detail. Analogies with the model of Nambu and Jona-Lasinio are pointed out. Finally some remarks on the scattering problem are added
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