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Long-distance asymptotics of temperature correlators of the impenetrable Bose gas

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Abstract

The inverse scattering method is applied to the integrable nonlinear system describing temperature correlators of the impenetrable bosons in one space dimension. The corresponding matrix Riemann problems are constructed for two-point as well as for multi-point correlators. Long-distance asymptotics of two-point correlators is calculated.

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Author notes

  1. A. G. Izergin

    Present address: Leningrad Branch, V. A. Steklov Mathematical Institute, Fontanka 27, SU-191011, Leningrad, USSR

Authors and Affiliations

  1. Leningrad University, Leningrad, USSR

    A. R. Its

  2. International Centre for Theoretical Physics, Trieste, Italy

    A. G. Izergin

  3. Leningrad Branch, V. A. Steklov Mathematical Institute, Fontanka 27, SU-191011, Leningrad, USSR

    V. E. Korepin

Authors
  1. A. R. Its
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  2. A. G. Izergin
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  3. V. E. Korepin
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Communicated by A. Jaffe

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Its, A.R., Izergin, A.G. & Korepin, V.E. Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Commun.Math. Phys. 130, 471–488 (1990). https://doi.org/10.1007/BF02096932

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  • DOI: https://doi.org/10.1007/BF02096932

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