Abstract:
The correlation function of the currents in a one-dimensional Bose gas is investigated by means of the series constructed in earlier work [1–3]. The higher corrections are calculated. The large-distance asymptotic behavior is investigated at both zero temperature and finite temperature. Particular attention is devoted to calculation of the pre-exponential factor.
Citation:
V. E. Korepin, N. A. Slavnov, “Correlation function of currents in a one-dimensional Bose gas”, TMF, 68:3 (1986), 471–478; Theoret. and Math. Phys., 68:3 (1986), 955–960
\Bibitem{KorSla86}
\by V.~E.~Korepin, N.~A.~Slavnov
\paper Correlation function of currents in a~one-dimensional Bose gas
\jour TMF
\yr 1986
\vol 68
\issue 3
\pages 471--478
\mathnet{http://mi.mathnet.ru/tmf5199}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=871065}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 3
\pages 955--960
\crossref{https://doi.org/10.1007/BF01019398}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986G881200014}
Linking options:
https://www.mathnet.ru/eng/tmf5199
https://www.mathnet.ru/eng/tmf/v68/i3/p471
This publication is cited in the following 7 articles:
Its A.R. Kozlowski K.K., “Large- x Analysis of an Operator-Valued Riemann?Hilbert Problem”, Int. Math. Res. Notices, 2016, no. 6, 1776–1806
Kozlowski K.K., Maillet J.M., Slavnov N.A., “Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas”, J Stat Mech Theory Exp, 2011, P03018
K K Kozlowski, J M Maillet, N A Slavnov, “Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas”, J. Stat. Mech., 2011:03 (2011), P03018
T Kojima, V Korepin, “The Maxwell - Bloch equation and correlation functions for the penetrable Bose gas”, J. Phys. A: Math. Gen., 30:14 (1997), 5105
N. A. Slavnov, “Nonequal-time current correlation function in a one-dimensional Bose gas”, Theoret. and Math. Phys., 82:3 (1990), 273–282
N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, “Critical exponents in completely integrable models of quantum statistical physics”, Theoret. and Math. Phys., 70:1 (1987), 94–102
A. G. Izergin, V. E. Korepin, N. A. Slavnov, “Finite-temperature correlation functions of Heisenberg antiferromagnet”, Theoret. and Math. Phys., 72:2 (1987), 878–884