Geodesic
Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 288-303 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the one-dimensional $XXZ$ Heisenberg chain of spin $1/2$ at $\Delta =-\infty$ we calculate the two-time temperature correlation function of the third components of local spins. For the correlation function in the thermodynamic limit, we obtain the expression in terms of Fredholm determinants for linear integral operators. 
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N. I. Abarenkova; A. G. Pronko. Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 288-303. http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a9/

[1] N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, Korrelyatsionnye funktsii integriruemykh sistem i kvantovyi metod obratnoi zadachi, Nauka, M., 1992 | MR | Zbl

[2] M. Jimbo, T. Miwa, Algebraic analysis of solvable lattice models, AMS, Providence, RI, 1995 | MR | Zbl

[3] F. H. L. Essler, H. Frahm, A. G. Izergin, V. E. Korepin, Commun. Math. Phys., 174 (1995), 191–214 | DOI | MR | Zbl

[4] N. Kitanine, J. M. Maillet, V. Terras, Nucl. Phys. B, 567 [FS] (2000), 554–582 | DOI | MR | Zbl

[5] F. Colomo, A. G. Izergin, V. Tognetti, J. Phys. A, 30 (1997), 361–369 | DOI | MR

[6] F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti, Theor. Math. Phys., 94 (1993), 11–38 | DOI | MR

[7] A. R. Its, A. G. Izergin, V. E. Korepin, N. A. Slavnov, “The quantum correlation function as the tau-function of classical differential equations”, Important Development in Soliton Theory, Springer Ser. Nonlinear Dyn., eds. A. S. Fokas, V. E. Zakharov, Springer, Berlin, 1993, 407–417 | DOI | MR | Zbl

[8] A. G. Izergin, A. R. Its, V. E. Korepin, N. A. Slavnov, Algebra i analiz, 6 (1994), 138–151 | MR | Zbl

[9] Y. Fujii, M. Wadati, J. Phys. A, 33 (2000), 1351–1361 | DOI | MR | Zbl

[10] Th. Niemeijer, Physica, 36 (1967), 377–419 | DOI

[11] A. G. Izergin, A. G. Pronko, N. I. Abarenkova, Phys. Lett. A, 245 (1998), 537–547 | DOI

[12] N. M. Bogoliubov, A. G. Izergin, N. A. Kitanine, Nucl. Phys. B, 516 [FS] (1998), 501–528 | DOI | MR | Zbl

[13] F. C. Alcaraz, R. Z. Bariev, “An exactly solvable constrained $XXZ$ chain”, Statistical Physics on the Eve of the Twenty-First Century, Proceedings of the conference (2000)

[14] N. M. Bogoliubov, A. G. Izergin, N. A. Kitanin, A. G. Pronko, J. Timonen, Phys. Rev. Lett., 86 (2001), 4439–4442 | DOI

[15] M. Goden, Volnovaya funktsiya Bete, Mir, M., 1987 | MR

[16] A. G. Izergin, A. G. Pronko, Nucl. Phys. B, 520 [FS] (1998), 594–632 | DOI | MR | Zbl

[17] C. N. Yang, C. P. Yang, J. Math. Phys., 10 (1969), 1115–1122 | DOI | MR | Zbl