Equal-time temperature correlators of the one-dimensional Heisenberg XY chain
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 173-206
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Representations as determinants of $M\times M$ dimensional matrices are obtained for equal-time temperature correlators of the anisotropic Heisenberg XY chain. These representations are simple deformations of the answers for the isotropic XXO chain. In the thermodynamical limit, the correlators are expressed in terms of the Fredholm determinants of linear integral operators.
@article{ZNSL_1997_245_a9,
author = {A. G. Izergin and V. S. Kapitonov and N. A. Kitanin},
title = {Equal-time temperature correlators of the one-dimensional {Heisenberg} {XY} chain},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {173--206},
publisher = {mathdoc},
volume = {245},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a9/}
}
TY - JOUR AU - A. G. Izergin AU - V. S. Kapitonov AU - N. A. Kitanin TI - Equal-time temperature correlators of the one-dimensional Heisenberg XY chain JO - Zapiski Nauchnykh Seminarov POMI PY - 1997 SP - 173 EP - 206 VL - 245 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a9/ LA - ru ID - ZNSL_1997_245_a9 ER -
%0 Journal Article %A A. G. Izergin %A V. S. Kapitonov %A N. A. Kitanin %T Equal-time temperature correlators of the one-dimensional Heisenberg XY chain %J Zapiski Nauchnykh Seminarov POMI %D 1997 %P 173-206 %V 245 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a9/ %G ru %F ZNSL_1997_245_a9
A. G. Izergin; V. S. Kapitonov; N. A. Kitanin. Equal-time temperature correlators of the one-dimensional Heisenberg XY chain. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 173-206. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a9/