UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS

DOI10.1142/S0217751X07034490zbMath1168.70324arXivhep-th/0506178MaRDI QIDQ3435288

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

Publication date: 25 April 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0506178

zbMATH Keywords

nonlinear sigma modelconstraintsgauge symmetriessupplementary conditions

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Geometry and quantization, symplectic methods (81S10) Constrained dynamics, Dirac's theory of constraints (70H45) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics

Cites Work

• Gauge-invariant counterparts and quantization of systems under holonomic constraints
• New results on systems with second-class constraints
• Gauge-invariant reformulation of theories with second-class constraints
• Hamilton-Jacobi approach to Berezinian singular systems
• Gauge unfixing in second-class constrained systems
• The gauged \(O(3)\) sigma model: Schrödinger representation and Hamilton-Jacobi formulation
• Quantisation of \(\text{O}(N)\) invariant nonlinear sigma model in the Batalin-Tyutin formalism
• Singular Lagrangian and the Dirac-Faddeev Method: Existence Theorem of Constraints in 'Standard Form'
• MULTI-HAMILTON–JACOBI QUANTIZATION OF O(3) NONLINEAR SIGMA MODEL
• On the dynamics of singular, continuous systems
• EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS
• On the Quantum Correction For Thermodynamic Equilibrium
• HIDDEN SYMMETRIES IN SECOND-CLASS CONSTRAINED SYSTEMS: ARE NEW FIELDS NECESSARY?
• Change of variables in quantum field theories
• Hamiltonian reduction of unconstrained and constrained systems
• Foundations of Quantum Mechanics
• Generalized Hamiltonian Dynamics
• On the principles of elementary quantum mechanics
• Quantization of relativistic systems with constraints

This page was built for publication: UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS