Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 100-114
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A. G. Bytsko. The zero-curvature representation for nonlinear $O(3)$ sigma-model. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 100-114. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a5/
@article{ZNSL_1994_215_a5,
author = {A. G. Bytsko},
title = {The zero-curvature representation for nonlinear $O(3)$ sigma-model},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {100--114},
year = {1994},
volume = {215},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a5/}
}
TY - JOUR
AU - A. G. Bytsko
TI - The zero-curvature representation for nonlinear $O(3)$ sigma-model
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 100
EP - 114
VL - 215
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a5/
LA - ru
ID - ZNSL_1994_215_a5
ER -
%0 Journal Article
%A A. G. Bytsko
%T The zero-curvature representation for nonlinear $O(3)$ sigma-model
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 100-114
%V 215
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a5/
%G ru
%F ZNSL_1994_215_a5
We consider $O(З)$ sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket. Bibliography: 5 titles.
