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Exact linear renormalization of a one-dimensional system with phase transition

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Abstract

We study by real-space renormalization a class of one-dimensional self-avoiding walks (SAWs) exhibiting a nonzero critical temperature. A linear renormalization transformation is carried out in closed form in a three-parameter subspace of SAW Hamiltonians. We find lines of fixed points along which the degree of localization of the fixed-point interactions varies. The role of the spin rescaling factor in the transformation is explicitly demonstrated.

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Authors and Affiliations

  1. Laboratorium voor Technische Natuurkunde, Technische Hogeschool, Delft, Holland

    H. J. Hilhorst

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  1. H. J. Hilhorst
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Hilhorst, H.J. Exact linear renormalization of a one-dimensional system with phase transition. J Stat Phys 17, 413–427 (1977). https://doi.org/10.1007/BF01014348

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  • DOI: https://doi.org/10.1007/BF01014348

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