Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain

  • H. E. Boos
  • V. E. Korepin
Chapter
Part of the Progress in Mathematical Physics book series (PMP, volume 23)

Abstract

We study the XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in the thermodynamical limit. We prove that for short strings the probability can be expressed in terms of the Riemann zeta function with odd arguments.

Keywords

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • H. E. Boos
    • 1
  • V. E. Korepin
    • 2
  1. 1.Institute for High Energy PhysicsProtvinoRussia
  2. 2.Institute for Theoretical PhysicsState University of New York at Stony BrookStony BrookNYUSA

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