On the Coordinate of a~Singular Point of the Time Correlation Function for a~Spin System on a~Simple Hypercubic Lattice at High Temperatures
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 491-502
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Using the $d^{-1}$ expansion method ($d$ is the space dimension), we estimate the coordinate of the time-dependent autocorrelation function singular point on the imaginary time axis for the spin 1/2 Heisenberg model on a simple hypercubic lattice at high temperatures. We represent the coefficients of the time expansion (the spectral moments) for the autocorrelation function as the sums of the weighted lattice figures in which the trees constructed from the double bonds give the leading contributions with respect to $d^{-1}$ and the same trees with the built-in squares from six bonds or diagrams with the fourfold bonds give the contribution of the next-to-leading order. We find the corrections to the coordinate of the autocorrelation function singular point that are due to the latter contributions.
@article{TMF_2002_131_3_a8,
author = {V. E. Zobov and M. A. Popov},
title = {On the {Coordinate} of {a~Singular} {Point} of the {Time} {Correlation} {Function} for {a~Spin} {System} on {a~Simple} {Hypercubic} {Lattice} at {High} {Temperatures}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {491--502},
publisher = {mathdoc},
volume = {131},
number = {3},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a8/}
}
TY - JOUR AU - V. E. Zobov AU - M. A. Popov TI - On the Coordinate of a~Singular Point of the Time Correlation Function for a~Spin System on a~Simple Hypercubic Lattice at High Temperatures JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2002 SP - 491 EP - 502 VL - 131 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a8/ LA - ru ID - TMF_2002_131_3_a8 ER -
%0 Journal Article %A V. E. Zobov %A M. A. Popov %T On the Coordinate of a~Singular Point of the Time Correlation Function for a~Spin System on a~Simple Hypercubic Lattice at High Temperatures %J Teoretičeskaâ i matematičeskaâ fizika %D 2002 %P 491-502 %V 131 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a8/ %G ru %F TMF_2002_131_3_a8
V. E. Zobov; M. A. Popov. On the Coordinate of a~Singular Point of the Time Correlation Function for a~Spin System on a~Simple Hypercubic Lattice at High Temperatures. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 491-502. http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a8/