Hamilton-Jacobi theory for gauge field theories
arXiv:1904.10264 · doi:10.1016/j.geomphys.2020.103636
Abstract
Recently, M. de León el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a special kind of field theories which are gauge field theories. The Hamilton-Jacobi theory for this kind of fields is shown.
References in corpus (19)
- Geometry of multisymplectic Hamiltonian first-order field theories
- Geometric Hamilton-Jacobi Theory
- A unified framework for mechanics. Hamilton-Jacobi equation and applications
- Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems
- Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory
- Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
- On the k-Symplectic, k-Cosymplectic and Multisymplectic Formalisms of Classical Field Theories
- A Geometric Hamilton-Jacobi Theory for Classical Field Theories
- Geometric aspects of nonholonomic field theories
- Hamilton-Jacobi Theory in k-Symplectic Field Theories
- Tulczyjew's triples and lagrangian submanifolds in classical field theories
- Geometric Hamilton-Jacobi theory for higher-order autonomous systems
- On the Hamilton-Jacobi Theory for Singular Lagrangian Systems
- The Tulczyjew triple for classical fields
- The Hamilton-Jacobi Formalism for Higher Order Field Theories
- Geometric Hamilton-Jacobi Field Theory
- Hamilton-Jacobi theory in Cauchy data space
- Structural aspects of Hamilton-Jacobi theory
- Hamilton-Jacobi theory in multisymplectic classical field theories
Cited by in corpus (4)
- Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
- Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
- Geometric Hamilton-Jacobi theory for systems with external forces
- A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity