118 citations · 427 across the 22 of their papers we have counts for
12 papers · 1 filter
Lie Groupoids in Classical Field Theory II: Gauge Theories, Minimal Coupling and Utiyama's Theorem
Bruno T. Costa, Michael Forger, Luiz Henrique P. Pêgas
In the two papers of this series, we initiate the development of a new approach to implementing the concept of symmetry in classical field theory, based on replacing Lie groups/alg…
Lie Groupoids in Classical Field Theory I: Noether's Theorem
Bruno T. Costa, Michael Forger, Luiz Henrique P. Pêgas
In the two papers of this series, we initiate the development of a new approach to implementing the concept of symmetry in classical field theory, based on replacing Lie groups/alg…
On Covariant Poisson Brackets in Classical Field Theory
Michael Forger, Mário O. Salles
How to give a natural geometric definition of a covariant Poisson bracket in classical field theory has for a long time been an open problem - as testified by the extensive literat…
Hamiltonian Vector Fields on Multiphase Spaces of Classical Field Theory
Michael Forger, Mário Otávio Salles
We present a classification of hamiltonian vector fields on multisymplectic and polysymplectic fiber bundles closely analogous to the one known for the corresponding dual jet bundl…
Local symmetries in gauge theories in a finite-dimensional setting
Michael Forger, Bruno L. Soares
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and the…
Covariant Poisson Brackets in Geometric Field Theory
Michael Forger, Sandro V. Romero
We establish a link between the multisymplectic and the covariant phase space approach to geometric field theory by showing how to derive the symplectic form on the latter, as intr…