Geodesic
Temperature correlation functions in the XX0 Heisenberg chain. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 19-51 
F. Colomo; A. G. Izergin; V. E. Korepin; V. Tognetti. Temperature correlation functions in the XX0 Heisenberg chain. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 19-51. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Space and time dependent correlation functions in the Heisenberg XX0 chain (in the transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators. This is done in order to evaluate asymptotics of these correlations, which we shall do in next paper.

[1] Jimbo M., Miwa T., Mori Y., Sato M., Physica, D1 (1980), 80 | MR | Zbl

[2] McCoy B. M., Perk J. H. H., Schrock R. E., Nucl. Phys., B220 (1983), 35 | DOI | MR

[3] Its A. R., Izergin A. G., Korepin V. E., Phys. Lett., A141 (1989), 121 | DOI | MR

[4] Its A. R., Izergin A. G., Korepin V. E., Comm. Math. Phys., 129 (1990), 205 | DOI | MR | Zbl

[5] Its A. R., Izergin A. G., Korepin V. E., Slavnov N. A., Int. Jour. Mod. Phys., B4 (1990), 1003 | DOI | MR | Zbl

[6] Its A. R., Izergin A. G., Korepin V. E., Novokshenov N. Ju., Nucl. Phys., B340 (1990), 752 | DOI | MR

[7] Korepin V. E., Izergin A. G., Bogoliubov N. M, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz Cambridge University Press, 1992 | MR

[8] Lenard A., Jour. Math. Phys., 5 (1964), 930 | DOI | MR

[9] Lenard A., Jour. Math. Phys., 7 (1966), 1268 | DOI | MR

[10] Korepin V. E., Slavnov N. A., Comm. Math. Phys., 136 (1991), 633 | DOI | MR | Zbl

[11] Its A. R., Izergin A. G., Korepin V. E., Commun. Math. Phys., 130 (1990), 471 | DOI | MR | Zbl

[12] Its A. R., Izergin A. G., Korepin V. E., Physica, D53 (1991), 187 | MR

[13] Its A.R., Izergin A. G., Korepin V. E., Varzugin G. G., Physica, D54 (1992), 351 | MR | Zbl

[14] Lieb E., Schultz T., Mattis D., Ann. Phys., 16 (1961), 407 | DOI | MR | Zbl

[15] Niemeijer T., Physica, 36 (1967), 377 | DOI

[16] McCoy B. M., Phys. Rev., 173 (1968), 531 | DOI | MR

[17] Katsura S., Horiguchi T., Suzuki M., Physica, 46 (1970), 67 | DOI

[18] D'lorio M., Armstrong R. L., Taylor D. R., Phys. Rev., B27 (1983), 1664

[19] Tonegawa T., Solid State Comm., 40 (1981), 983 | DOI

[20] Perk J. H. H., Capel H. W., Physica, A89 (1977), 265 | DOI | MR

[21] Itoyama H., Korepin V. E., Thacker H. B., preprint ITP-SB-90-92., SUNY, Stony Brook

[22] Yang C. N., Yang C. P., Phys. Rev., 150 (1966), 321 | DOI

[23] Jordan P., Wigner E., Z. Phys., 47 (1928), 631 | DOI | Zbl

[24] Bogoliubov N. M., Izergin A. G., Korepin V. E., Lectures Notes in Physics, 242 (1985), 220 | DOI | MR

[25] Perk J. H. H., Phys. Lett., A79 (1980), 1 | DOI | MR

[26] Vaidya H. G., Tracy C., Physica, 92A (1978), 652 | MR

[27] Perk J. H. H., Capel H. W., Quispel G. R. W., Nijhoff F. W., Physica, A123 (1984), 1 | DOI | MR | Zbl

[28] McCoy B. M., Phys. Rev. Lett., 31 (1973), 1409 | DOI