SU(2) particle sigma model: the role of contact symmetries in global quantization

DOI10.1088/1751-8113/49/50/505201zbMath1357.81134arXiv1607.04058OpenAlexW3105207353MaRDI QIDQ2960269

Francisco Cossío, F. F. López-Ruiz, Julio Guerrero, Victor Aldaya

Publication date: 8 February 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04058

zbMATH Keywords

nonlinear systemsnon trivial topologycontact symmetriesnon-canonical quantizationparticle sigma model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Other elementary particle theory in quantum theory (81V25) Quantization in field theory; cohomological methods (81T70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Contact manifolds (general theory) (53D10)

Related Items

$SU(2)$ -particle sigma model: momentum-space quantization of a particle on the sphere S ³, Sharing symmetries in non-linear systems: Generalized Heisenberg–Weyl algebra on the de Sitter space-time out of the sphere S3, Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole

Cites Work

• Quantization and unitary representations
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