The Batalin–Tyutin Formalism on the Collective Coordinates Quantization of the SU(2) Skyrme Model

Author:

Oliveira Wilson1,Neto Jorge Ananias1

Affiliation:

1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil

Abstract

We apply the Batalin–Tyutin constraint formalism of converting a second class system into a first class system for the rotational quantization of the SU(2) Skyrme model. We obtain the first class constraints, the Hamiltonian in the extended phase space, the Lagrangian that leads the new theory and the spectrum of the extended theory. We observe that with the use of the BT formalism on the collective coordinates quantization of the SU(2) Skyrme model there is an additional term in the usual quantum Hamiltonian.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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