Gauge reduction in covariant field theory

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Constraints in Euler-Poincaré reduction of field theories
Euler-Poincaré reduction in principal bundles by a subgroup of the structure group
Local symmetries in gauge theories in a finite-dimensional setting
Lagrange-Poincaré field equations
Second order gauge theory
Hamiltonian reduction by stages
A new Lagrangian dynamic reduction in field theory
Covariant and dynamical reduction for principal bundle field theories
Reduction of Poisson manifolds
Reduction of symplectic manifolds with symmetry
Gauge algebras, curvature and symplectic structure
Some remarks on Lagrangian and Poisson reduction for field theories.
Reduction in principal bundles: covariant Lagrange-Poincaré equations
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
The variational discretization of the constrained higher-order Lagrange-Poincaré equations
Lie groupoids in classical field theory. I: Noether's theorem
Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products
The geometry of gauge-particle field interaction: A generalization of Utiyama's theorem
Variational discretizations of gauge field theories using group-equivariant interpolation
The problem of Lagrange in discrete field theory
Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
Topology and mechanics. I
Principal bundles and connections modelled by Lie group bundles
Lagrangian reduction by stages
Multisymplectic variational integrators and space/time symplecticity
Energy and electromagnetism of a differential k-form
Invariant Theoretical Interpretation of Interaction
Discrete mechanics and variational integrators
Euler-Poincaré reduction for discrete field theories
Integrable discretizations of the Euler top
Discrete Euler-Poincaré and Lie-Poisson equations
Euler-Poincaré reduction on principal bundles
Poisson-Poincaré reduction for field theories
Lagrangian reduction by stages in field theory
Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups

This page was built for publication: Gauge reduction in covariant field theory