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On the Bethe ansatz for random directed polymers

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Abstract

We show that the inclusion of the (gapless) center-of-mass motion together with a functional integral representation of the Bethe wave function allows one to predict exactly the critical exponents for random directed polymers in (1+1) dimensions. The corresponding amplitudes are computed; they compare satisfactorily with existing numerical data. Within a replica-symmetric theory, we find that the Green function of the polymer has the form recently proposed by Parisi.

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Authors and Affiliations

  1. Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et à l'Université de Paris VI, 75231, Paris Cedex 05, France

    J. P. Bouchaud

  2. Service de Physique Théorique (Laboratoire de l'Institut de Recherche Fondamentale du Commisariat à l'énergie atomique), Orme des Merisiers, 91191, Gif sur Yvette Cedex, France

    H. Orland

Authors
  1. J. P. Bouchaud
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  2. H. Orland
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Bouchaud, J.P., Orland, H. On the Bethe ansatz for random directed polymers. J Stat Phys 61, 877–884 (1990). https://doi.org/10.1007/BF01027306

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  • DOI: https://doi.org/10.1007/BF01027306

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