RIGID AND GAUGE NOETHER SYMMETRIES FOR CONSTRAINED SYSTEMS

DOI10.1142/S0217751X00001968zbMath0995.70016arXivhep-th/9908151MaRDI QIDQ4528589

J. Antonio García, Josep M. Pons

Publication date: 13 May 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9908151

zbMATH Keywords

Lagrange multipliersconfiguration spacesecond-class constraintsPoisson bracketsingular systemsfirst-class constraintsclosureNoether symmetriestangent spaceDirac bracketalgebra of transformationsabelian Chern-Simons theoryalgebra of generatorscommutator of infinitesimal transformationscotangent phase spaceexistence of canonical gauge transformationsgeneralized Noether transformationsHamiltonian stabilization

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items (12)

Conditional symmetries and the canonical quantization of constrained minisuperspace actions: the Schwarzschild case ⋮ On Dirac's incomplete analysis of gauge transformations ⋮ Dynamics of Dirac observables in canonical cosmological perturbation theory ⋮ LAGRANGIAN NOETHER SYMMETRIES AS CANONICAL TRANSFORMATIONS ⋮ Symmetries in a constrained system with a singular higher-order Lagrangian ⋮ ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS ⋮ Gauge invariant variables for cosmological perturbation theory using geometrical clocks ⋮ Noether symmetries for fields and branes in backgrounds with Killing vectors ⋮ Abelianization of first class constraints ⋮ Substituting fields within the action: Consistency issues and some applications ⋮ Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory ⋮ Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator

Cites Work

• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• The dynamical structure of higher dimensional Chern-Simons theory
• Equivalence of Faddeev–Jackiw and Dirac Approaches for Gauge Theories
• Noether’s theorem and gauge transformations: Application to the bosonic string and C P n−12 model
• Equivalence between Lagrangian and Hamiltonian BRST formalisms
• Existence theorem for gauge symmetries in Hamiltonian constrained systems
• New relations between Hamiltonian and Lagrangian constraints
• Reduced phase space: quotienting procedure for gauge theories
• Manifest Duality in Born–Infeld Theory
• FADDEEV-JACKIW APPROACH TO GAUGE THEORIES AND INEFFECTIVE CONSTRAINTS
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Evolutionary laws, initial conditions and gauge fixing in constrained systems
• Generalized Hamiltonian Dynamics

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