Geodesic
The $XX$ and Ising Limits in Integral Formulas for Finite-Temperature Correlation Functions of the $XXZ$ Chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 146-160

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We consider a multiple-integral representation for a one-parameter generating function of the finite temperature $S^z$–$S^z$ correlation functions of the antiferromagnetic spin-$1/2$ $XXZ$ chain in the $XX$ limit and in the Ising limit. We show how the multiple integrals reduce to single integrals in these limits, thus reproducing known results.
Keywords: quantum spin chain, exact finite-temperature correlation functions, $XX$ model. 
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     author = {F. Gohmann and A. Seel},
     title = {The $XX$ and {Ising} {Limits} in {Integral} {Formulas} for {Finite-Temperature} {Correlation} {Functions} of the $XXZ$ {Chain}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {146--160},
     publisher = {mathdoc},
     volume = {146},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a11/}
}
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F. Gohmann; A. Seel. The $XX$ and Ising Limits in Integral Formulas for Finite-Temperature Correlation Functions of the $XXZ$ Chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 146-160. http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a11/