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Communications in Mathematical Physics

, Volume 174, Issue 1, pp 191–214 | Cite as

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

  • Fabian H. L. Eßler
  • Holger Frahm
  • Anatoli G. Izergin
  • Vladimir E. Korepin
Article

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.

Keywords

Magnetic Field Neural Network Statistical Physic Correlation Function Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Fabian H. L. Eßler
    • 1
  • Holger Frahm
    • 2
  • Anatoli G. Izergin
    • 3
  • Vladimir E. Korepin
    • 4
  1. 1.Physikalisches Institut der Universität BonnBonnGermany
  2. 2.Institut für Theoretische PhysikUniversität HannoverHannoverGermany
  3. 3.Department of Mathemtical Institute of SciencesAcademy of Sciences of RussiaSt. Petersburg, LOMIRussia
  4. 4.SUNY at Stony BrookInstitute for Theoretical PhysicsStony BrookUSA

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