Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 219-261
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V. S. Kapitonov; A. G. Pronko. Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 219-261. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/
@article{ZNSL_2000_269_a16,
author = {V. S. Kapitonov and A. G. Pronko},
title = {Time-dependent temperature correlators of local spins of the one-dimensional {Heisenberg} $XY$ chain},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {219--261},
year = {2000},
volume = {269},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/}
}
TY - JOUR
AU - V. S. Kapitonov
AU - A. G. Pronko
TI - Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 219
EP - 261
VL - 269
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/
LA - ru
ID - ZNSL_2000_269_a16
ER -
%0 Journal Article
%A V. S. Kapitonov
%A A. G. Pronko
%T Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 219-261
%V 269
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/
%G ru
%F ZNSL_2000_269_a16
Time-dependent temperature correlators of the anisotropic Heisenberg $XY$ chain are calculated by making use of technique of integration over Grassmann variables. For the chain of length $M$ the correlators are represented as determinants of $2M\times2M$ matrices. In the thermodynamic limit the correlation functions are expressed in terms of the Fredholm determinants of linear integral operators with a matrix kernel.
