Geodesic
low temperature asymptotics of correlators in onedimensional Bose gas
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 91-94

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Large distance asymptotics of correlation functions are universal for completely integrable models in the case when temperature is less then Fermi energy. This asymptotics is defined by only one critical exponent which is defined by $R$ matrix and Fermi momentum. 
@article{ZNSL_1988_169_a10,
     author = {V. E. Korepin},
     title = {low temperature asymptotics of correlators in onedimensional {Bose} gas},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {169},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a10/}
}
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V. E. Korepin. low temperature asymptotics of correlators in onedimensional Bose gas. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 91-94. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a10/