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arxiv: hep-th/0405089 · v2 · submitted 2004-05-10 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP

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

F. G\"ohmann , A. Kl\"umper , A. Seel This is my paper
classification ✦ hep-th cond-mat.stat-mechmath-phmath.MP
keywords finitechaincorrelationfunctionsintegralmatrixtemperaturealgebraic
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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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    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.