Geodesic
Integral equations for correlation functions of a quantum one-dimensional Bose gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 117-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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The large-time, long-distance behavior of the temperature correlation functions of a quantum one-dimensional Bose gas is considered. We obtain integral equations, which are closely related to the thermodynamic Bethe ansatz equations and whose solutions describe asymptotic expressions. In the low-temperature limit, the solutions of these equations are expressed through observables of the model. 
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N. A. Slavnov. Integral equations for correlation functions of a quantum one-dimensional Bose gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 117-138. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a7/

[1] T. Kojima, V. E. Korepin, N. A. Slavnov, Commun. Math. Phys., 188 (1997), 657 | DOI | MR | Zbl

[2] T. Kojima, V. E. Korepin, N. A. Slavnov, Commun. Math. Phys., 189 (1997), 709 | DOI | MR | Zbl

[3] V. E. Korepin, N. A. Slavnov, J. Phys. A, 30 (1997), 8241 | DOI | MR | Zbl

[4] N. A. Slavnov, Zap. nauchn. sem. POMI, 251, 1998, 80

[5] A. R. Its, N. A. Slavnov, TMF, 119:2 (1999), 179 ; E-print math-ph/9811009 | DOI | MR | Zbl

[6] C. N. Yang, C. P. Yang, J. Math. Phys., 10 (1969), 1115 | DOI | MR | Zbl

[7] A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov, Nucl. Phys. B, 241 (1984), 333 | DOI | MR | Zbl

[8] V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl

[9] P. Deift, X. Zhou, Ann. of Math., 137 (1995), 295 | DOI | MR

[10] V. E. Korepin, Commun. Math. Phys., 113 (1987), 177 | DOI | MR | Zbl

[11] V. E. Korepin, N. A. Slavnov, J. Phys. A, 30 (1997), 8623 | DOI | MR | Zbl

[12] A. R. Its, A. G. Izergin, V. E. Korepin, G. G. Varzugin, Physica D, 54 (1992), 351 | DOI | MR | Zbl

[13] E. H. Lieb, W. Liniger, Phys. Rev., 130 (1963), 1605 | DOI | MR | Zbl

[14] V. E. Korepin, N. A. Slavnov, European J. Phys., 5 (1998), 555 ; The new identity for the scattering matrix of exactly solvable models, E-print solv-int/9712005 | DOI | MR

[15] N. A. Slavnov, TMF, 116:3 (1998), 362 | DOI | MR | Zbl