Improved BFT quantization of O(3) nonlinear sigma model

초록

We newly apply the improved Batalin-Fradkin-Tyutin (BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of a nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore, following the Batalin-Fradkin-Vilkoursky formalism, we derive the Becci-Rouet-Stora-Tyutin invariant gauge fixed Lagrangian through the standard path-integral procedure. Finally, by introducing collective coordinates, we also study a semiclassical quantization of the soliton background to conclude that the spectra of zero modes are unchanged through the BFT procedure. [S0556-2821(99)03922-3].

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