Generalized symmetries in mechanics and field theories

DOI10.1063/1.1469668zbMath1059.70021OpenAlexW2002350786MaRDI QIDQ4832653

Marco Ferraris, Mauro Francaviglia, Lorenzo Fatibene, Raymond G. Mclenaghan

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1469668

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) 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 (14)

ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ Hidden Symmetries of the Dirac Equation in Curved Space-Time ⋮ COVARIANT ENERGY IN MECHANICS ⋮ ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ General theory of Lie derivatives for Lorentz tensors ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration ⋮ Symmetry operators for Dirac’s equation on two-dimensional spin manifolds ⋮ Noether versus Killing symmetry of conformally flat Friedmann metric ⋮ A new geometrical look at gravity coupled with Yang–Mills fields ⋮ ON-SHELL SYMMETRIES ⋮ COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES ⋮ GAUGE CONSERVATION LAWS IN A GENERAL SETTING: SUPERPOTENTIAL ⋮ Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology ⋮ Noether’s second theorem for BRST symmetries

Cites Work

• Internal, external, and generalized symmetries
• Remarks on Noether charges and black holes entropy
• Gauge formalism for general relativity and fermionic matter
• Nöther formalism for conserved quantities in classical gauge field theories. II. The arbitrary Bosonic matter case
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences
• Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4)-symmetric Yang–Mills theories of Yatsun

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