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Gauge-invariant counterparts and quantization of systems under holonomic constraints

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Publication:451571
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DOI10.1016/j.physletb.2004.12.058zbMath1247.81233arXivhep-th/0411138OpenAlexW2055576589MaRDI QIDQ451571

Christian Fuchs, Amand Faessler, A. A. Raduta, Mikhail I. Krivoruchenko

Publication date: 23 September 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0411138


zbMATH Keywords

second-class constraintsquantizationholonomic systemsgeneralized Hamiltonian dynamicshidden gauge symmetry


Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Geometry and quantization, symplectic methods (81S10)


Related Items

Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics ⋮ UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS



Cites Work

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  • The imbedding problem for Riemannian manifolds
  • Hamilton-Jacobi approach to Berezinian singular systems
  • The gauged \(O(3)\) sigma model: Schrödinger representation and Hamilton-Jacobi formulation
  • MULTI-HAMILTON–JACOBI QUANTIZATION OF O(3) NONLINEAR SIGMA MODEL
  • Generalized Hamiltonian Dynamics
  • Quantization of relativistic systems with constraints
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