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Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
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We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation function in the interacting one-dimensional Bose gas. We compute the correlation lengths in terms of solutions of non-linear integral equations of the thermodynamic Bethe ansatz type. Finally, we establish a connection between the results obtained in our approach with the correlation lengths stemming from the quantum transfer matrix method.
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Cited by 1 Pith paper
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On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint
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.
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