Constraint structure of O(3) nonlinear sigma model revisited
Soon-Tae Hong, Yong-Wan Kim, Young-Jai Park, Klaus D. Rothe
TL;DR
This paper thoroughly examines the constraint structure of the O(3) nonlinear sigma model using multiple theoretical frameworks, providing a comprehensive analysis of its underlying constraints.
Contribution
It offers a detailed comparison of the constraint structures across Lagrangian, symplectic, Hamilton-Jacobi, and Batalin-Fradkin-Tyutin methods, enhancing understanding of the model's properties.
Findings
Unified view of the constraint structure across different formalisms
Identification of key constraints in the O(3) nonlinear sigma model
Insights into the embedding procedures for the model's constraints
Abstract
We study the constraint structure of the O(3) nonlinear sigma model in the framework of the Lagrangian, symplectic, Hamilton-Jacobi as well as the Batalin-Fradkin-Tyutin embedding procedure.
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Taxonomy
TopicsNonlinear Waves and Solitons · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models