The gauged \(O(3)\) sigma model: Schrödinger representation and Hamilton-Jacobi formulation

DOI10.1016/j.aop.2003.12.013zbMath1062.81083arXivhep-th/0302112OpenAlexW2033799719MaRDI QIDQ1827382

Klaus D. Rothe, Soon-Tae Hong

Publication date: 6 August 2004

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0302112

zbMATH Keywords

SpectrumDirac quantizationHamilton-JacobiNonlinear model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (8)

New class of solutions in the non-minimal O(3)-sigma model ⋮ Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model ⋮ Geometric Potential and Dirac Quantization ⋮ Gauge-invariant counterparts and quantization of systems under holonomic constraints ⋮ BRST SYMMETRIES IN FREE PARTICLE SYSTEM ON TORIC GEOMETRY ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS ⋮ Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole

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• Stückelberg field-shifting quantization of a free particle on aD-dimensional sphere
• Foundations of Quantum Mechanics
• Static properties of chiral models with SU(3) group structure

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