BRST INVARIANT CP1 MODEL THROUGH IMPROVED DIRAC QUANTIZATION-Reference-Cited by-同舟云学术

BRST INVARIANT CP1 MODEL THROUGH IMPROVED DIRAC QUANTIZATION

Published:2001-07-10 Issue:21 Volume:16 Page:1361-1376
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

HONG SOON-TAE¹²,PARK YOUNG-JAI¹,KUBODERA KUNIHARU²,MYHRER FRED²

Affiliation:

1. Department of Physics and Basic Science Research Institute, Sogang University, C. P. O. Box 1142, Seoul 100-611, Korea

2. Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208, USA

Abstract

The Batalin–Fradkin–Tyutin (BFT) scheme, which is an improved version of Dirac quantization, is applied to the CP1 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 CP1 model. Exploiting the Hopf bundle, we also show that the CP1 model is exactly equivalent to the O(3) nonlinear sigma model at the canonical level.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732301004601

Reference22 articles.

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4. Operator quantization of dynamical systems with irreducible first- and second-class constraints

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