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Temperature correlators of the impenetrable Bose gas as an integrable system

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It is shown that the temperature equal-time correlators of impenetrable bosons in one space dimension are described by a classical integrable system. Partial differential equations for two-point as well as for multipoint correlators are obtained. The short-distance and low-density expansions are constructed.

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Communicated by A. Jaffe

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Its, A.R., Izergin, A.G. & Korepin, V.E. Temperature correlators of the impenetrable Bose gas as an integrable system. Commun.Math. Phys. 129, 205–222 (1990). https://doi.org/10.1007/BF02096786

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  • DOI: https://doi.org/10.1007/BF02096786

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