XX and Ising limits in integral formulae for finite temperature correlation functions of the XXZ chain

Abstract

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 in these limits the multiple integrals reduce to single integrals, thereby reproducing known results.

16 pages, Contribution to the proceedings of the International Workshop on Classical and Quantum Integrable Systems, Dubna, January 24-28, 2005

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Cited by in corpus (9)

• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Thermal form-factor approach to dynamical correlation functions of integrable lattice models
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Short-distance thermal correlations in the massive XXZ chain
• Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain
• Short-distance thermal correlations in the XXZ chain
• Dynamical correlation functions of the XXZ model at finite temperature
• Effective free-fermionic form factors and the XY spin chain
• A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain