Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 269-291
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New representation for the generating function of static correlators of third components of spins in the $XXO$-Heisenberg model is advanced in the form of Gaussian functional integral. The generating function, as well as
the partition function of the model, are calculated by means of zeta regularization procedure. Formulas for certain correlation functions at nonzero temperature are obtained.
@article{ZNSL_2000_269_a18,
author = {K. L. Malyshev},
title = {Functional integration, zeta regularization and correlators of third components of spins in the $XXO${-Heisenberg}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {269--291},
publisher = {mathdoc},
volume = {269},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/}
}
TY - JOUR AU - K. L. Malyshev TI - Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg JO - Zapiski Nauchnykh Seminarov POMI PY - 2000 SP - 269 EP - 291 VL - 269 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/ LA - ru ID - ZNSL_2000_269_a18 ER -
%0 Journal Article %A K. L. Malyshev %T Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg %J Zapiski Nauchnykh Seminarov POMI %D 2000 %P 269-291 %V 269 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/ %G ru %F ZNSL_2000_269_a18
K. L. Malyshev. Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 269-291. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/