BRST invariant $CP^{1}$ model through improved Dirac quantization

Details BRST invariant $CP^{1}$ model through improved Dirac quantization BRST invariant $CP^{1}$ model through improved Dirac quantization

2000-06-29

arxiv.org/abs/hep-th/0006227v2

Mod.Phys.Lett. A16 (2001) 1361-1376

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1142/S0217732301004601

The Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of Dirac quantization, is applied to the $CP^1$ model, and the compact form of a nontrivial first-class Hamiltonian is directly obtained by introducing the BFT physical fields. We also derive a BRST-invariant gauge fixed Lagrangian through the standard path-integral procedure. Furthermore, performing collective coordinate quantization we obtain energy spectrum of rigid rotator in the $CP^1$ model. Exploiting the Hopf bundle, we also show that the $CP^1$ model is exactly equivalent to the O(3) nonlinear sigma model at the canonical level.

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