Geodesic
Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 288-303 
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/
@article{TMF_2002_131_2_a9,
     author = {N. I. Abarenkova and A. G. Pronko},
     title = {Temperature {Correlation} {Function} in the {Absolutely} {Anisotropic} {XXZ} {Heisenberg} {Magnet}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--303},
     year = {2002},
     volume = {131},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a9/}
}
TY  - JOUR
AU  - N. I. Abarenkova
AU  - A. G. Pronko
TI  - Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2002
SP  - 288
EP  - 303
VL  - 131
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a9/
LA  - ru
ID  - TMF_2002_131_2_a9
ER  - 
%0 Journal Article
%A N. I. Abarenkova
%A A. G. Pronko
%T Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2002
%P 288-303
%V 131
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a9/
%G ru
%F TMF_2002_131_2_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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