Abstract:
The asymptotic behavior of the current correlation function at large distances is
investigated by means of the expansion constructed earlier by the authors and
Izergin [1, 2, 3]. The correlation length is calculated for arbitrary coupling
constant.
Citation:
N. M. Bogolyubov, V. E. Korepin, “Temperature dependence of the correlation length in a one-dimensional Bose gas”, TMF, 64:1 (1985), 92–102; Theoret. and Math. Phys., 64:1 (1985), 708–715
\Bibitem{BogKor85}
\by N.~M.~Bogolyubov, V.~E.~Korepin
\paper Temperature dependence of the correlation length in a~one-dimensional Bose gas
\jour TMF
\yr 1985
\vol 64
\issue 1
\pages 92--102
\mathnet{http://mi.mathnet.ru/tmf4905}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815100}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 1
\pages 708--715
\crossref{https://doi.org/10.1007/BF01017039}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AYT5900010}
Linking options:
https://www.mathnet.ru/eng/tmf4905
https://www.mathnet.ru/eng/tmf/v64/i1/p92
This publication is cited in the following 8 articles:
V. M. Kaplitskii, “Thermodynamical averages for the Ising model and spectral invariants of Toeplitz matrices”, Theoret. and Math. Phys., 203:3 (2020), 780–793
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
N. A. Slavnov, “Differential equations for multipoint correlation functions in one-dimensional impenetrable
bose-gas”, Theoret. and Math. Phys., 106:1 (1996), 131–142
V. E. Korepin, “Low-temperature asymptotics of correlators in a one-dimensional Bose gas”, J Math Sci, 54:3 (1991), 920
N. A. Slavnov, “Nonequal-time current correlation function in a one-dimensional Bose gas”, Theoret. and Math. Phys., 82:3 (1990), 273–282
A. V. Zabrodin, “On the irreducible part of the current correlation function in quantum completely integrable models”, Theoret. and Math. Phys., 71:2 (1987), 485–491
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
V. E. Korepin, N. A. Slavnov, “Correlation function of currents in a one-dimensional Bose gas”, Theoret. and Math. Phys., 68:3 (1986), 955–960
Citation in format AMSBIB
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