Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas

Abstract : 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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00544292
Contributor : Jean Michel Maillet <>
Submitted on : Tuesday, December 7, 2010 - 4:00:56 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM

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  • HAL Id : ensl-00544292, version 1
  • ARXIV : 1011.3149

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K. K. Kozlowski, J. M. Maillet, N. A. Slavnov. Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas. 2010. ⟨ensl-00544292⟩

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