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Exact, periodic multipolaron solutions are constructed for the Gross-Neveu (GN) field theory in one dimension for particles with N flavors. First we connect the appropriate GN equations with continuum models of Peierls distorted polymer chains. Then we utilize a relationship between the cnoidal wave solutions of the Toda lattice and the potential of a polaron lattice in polymers.
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Saxena et al. (1991) studied this question.
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