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Integral representations for correlation functions of the XXZ chain at finite temperature

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arxiv hep-th/0405089 v2 pith:N72VT6KM submitted 2004-05-10 hep-th cond-mat.stat-mechmath-phmath.MP

F. Göhmann , A. Klümper , A. Seel This is my paper · ORCID
classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords finitechaincorrelationfunctionsintegralmatrixtemperaturealgebraic
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abstract

We derive a novel multiple integral representation for a generating function of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite temperature and finite, longitudinal magnetic field. Our work combines algebraic Bethe ansatz techniques for the calculation of matrix elements with the quantum transfer matrix approach to thermodynamics.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint

    math-ph 2025-07 conditional novelty 7.0 of 10

    Exact multiple sums and multiple integrals are derived for elementary correlation-function building blocks of the open XYZ spin-1/2 chain with one constraint on its six boundary fields.

  2. New approach to scalar products of Bethe vectors

    math-ph 2019-07 unverdicted novelty 6.0 of 10

    Derives determinant representations for scalar products of on-shell and off-shell Bethe vectors via transfer-matrix action coefficients in algebraic Bethe ansatz models with periodic and reflecting boundaries.

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