Multi Hamilton-Jacobi quantization of O(3) nonlinear sigma model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX, to be published in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732301004157

The O(3) non-linear sigma model is investigated using multi Hamilton-Jacobi
formalism. The integrability conditions are investigated and the results are in
agreement with those obtained by Dirac's method. By choosing an adequate
extension of phase space we describe the transformed system by a set of three
Hamilton-Jacobi equations and calculate the corresponding action.

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