Geodesic
Hamiltonian structure of the nonlinear sigma model in light front coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 1, pp. 70-79

Voir la notice de l'article provenant de la source Math-Net.Ru

The classical nonlinear $O(3)$ sigma model is treated in an isotropic coordinate system. The Dirac brackets are calculated for the independent field variables, introduced by stereographic projection, and also for the ordinary field functions, which form a manifestly $O(3)$-invariant system. It is shown that the Dirac brackets satisfy the Jacobi identities only for a nontrivial choice of the boundary conditions. 
@article{TMF_1984_59_1_a4,
     author = {S. B. Pereslegin and V. A. Franke},
     title = {Hamiltonian structure of the nonlinear sigma model in light front coordinates},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {70--79},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_1_a4/}
}
TY  - JOUR
AU  - S. B. Pereslegin
AU  - V. A. Franke
TI  - Hamiltonian structure of the nonlinear sigma model in light front coordinates
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 70
EP  - 79
VL  - 59
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_59_1_a4/
LA  - ru
ID  - TMF_1984_59_1_a4
ER  - 
%0 Journal Article
%A S. B. Pereslegin
%A V. A. Franke
%T Hamiltonian structure of the nonlinear sigma model in light front coordinates
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 70-79
%V 59
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1984_59_1_a4/
%G ru
%F TMF_1984_59_1_a4
S. B. Pereslegin; V. A. Franke. Hamiltonian structure of the nonlinear sigma model in light front coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 1, pp. 70-79. http://geodesic.mathdoc.fr/item/TMF_1984_59_1_a4/