Classical and quantum mechanics of non-Abelian Chern-Simons particles

DOI10.1016/0550-3213(95)00669-9zbMath1004.81514arXivhep-th/9509135OpenAlexW2059108652MaRDI QIDQ1907370

Phillial Oh

Publication date: 20 February 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9509135

zbMATH Keywords

symplectic reductioncomplete Dirac constraint analysisDirac bracket relationsKnizhnik Zamolodchikov equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10)

Related Items (4)

The \(q\)-deformed oscillator representations and their coherent states of the \(su(1,1)\) algebra ⋮ Unification theory of classical statistical uncertainty relation and quantum uncertainty relation and its applications ⋮ Large \(N\) limit of higher derivative extended \(\mathbb{C}\mathbb{P}(N)\) model ⋮ Multiple solutions for the non-abelian Chern-Simons-Higgs vortex equations

Cites Work

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• Geometric quantization of Chern-Simons gauge theory
• Current algebras and Wess-Zumino model in two dimensions
• A universal phase space for particles in Yang-Mills fields
• Non-Abelian Chern-Simons quantum mechanics and non-Abelian Aharonov-Bohm effect
• The Duistermaat–Heckman integration formula on flag manifolds
• Phase space structure of non-Abelian Chern–Simmons particles
• Hamiltonian reduction of unconstrained and constrained systems

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