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Convergent expansions for asymptotically degenerate inverse correlation lengths of classical lattice spin systems

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Abstract

We obtain convergent expansions for the inverse correlation length associated with various spin-spin correlation functions for some weakly coupled multicomponent classical lattice spin systems. In terms of the lattice quantum field theory associated with the models the expansions provide a convergent perturbation theory for particle masses which are asymptotically degenerate in the limit of zero coupling.

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Reseach partially supported by CNPq, Brazil.

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O'Carroll, M. Convergent expansions for asymptotically degenerate inverse correlation lengths of classical lattice spin systems. J Stat Phys 37, 439–449 (1984). https://doi.org/10.1007/BF01011843

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