Group-quantization of nonlinear sigma models: particle on \(\mathbb S^2\) revisited

DOI10.1016/S0034-4877(09)90019-2zbMath1204.81119arXiv0807.2630OpenAlexW2950715155MaRDI QIDQ963202

F. F. López-Ruiz, Manuel Calixto, Victor Aldaya, Julio Guerrero

Publication date: 8 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2630

zbMATH Keywords

group quantizationLie group representationsparticle sigma models

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (6)

SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION ⋮ $SU(2)$ -particle sigma model: momentum-space quantization of a particle on the sphere S ³ ⋮ Coherent states for \(N\)-component fractional quantum Hall systems and their nonlinear sigma models ⋮ NON-CANONICAL PERTURBATION THEORY OF NONLINEAR SIGMA MODELS ⋮ A QUANTIZABLE MODEL OF MASSIVE GAUGE VECTOR BOSONS WITHOUT HIGGS ⋮ 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
• Gauge principle revisited: Towards a unification of space–time and internal gauge interactions
• Group-cohomology refinement to classify G-symplectic manifolds

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