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Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets

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Abstract

We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime −1<Δ≦1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in term of determinats of Fredholm integral operators.

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Authors and Affiliations

  1. Physikalisches Institut der Universität Bonn, Nussallee 12, D-53115, Bonn, Germany

    Fabian H. L. Eßler

  2. Institut für Theoretische Physik, Universität Hannover, D-30167, Hannover, Germany

    Holger Frahm

  3. Department of Mathemtical Institute of Sciences, Academy of Sciences of Russia, Fontanka 27, SU-199106, St. Petersburg, LOMI, Russia

    Anatoli G. Izergin

  4. SUNY at Stony Brook, Institute for Theoretical Physics, 11794-3840, Stony Brook, NY, USA

    Vladimir E. Korepin

Authors
  1. Fabian H. L. Eßler
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  2. Holger Frahm
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  3. Anatoli G. Izergin
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  4. Vladimir E. Korepin
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Communicated by M. Jimbo

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Eßler, F.H.L., Frahm, H., Izergin, A.G. et al. Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets. Commun.Math. Phys. 174, 191–214 (1995). https://doi.org/10.1007/BF02099470

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  • DOI: https://doi.org/10.1007/BF02099470

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