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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 59, Number 1, Pages 70–79
(Mi tmf4706)
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This article is cited in 5 scientific papers (total in 5 papers)
Hamiltonian structure of the nonlinear sigma model in light front coordinates
S. B. Pereslegin, V. A. Franke
Abstract:
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.
Received: 12.07.1983
Citation:
S. B. Pereslegin, V. A. Franke, “Hamiltonian structure of the nonlinear sigma model in light front coordinates”, TMF, 59:1 (1984), 70–79; Theoret. and Math. Phys., 59:1 (1984), 365–372
Linking options:
https://www.mathnet.ru/eng/tmf4706 https://www.mathnet.ru/eng/tmf/v59/i1/p70
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