51 citations · 71 across the 3 of their papers we have counts for
4 papers
On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective
L. Vitagliano
We formalize geometrically the idea that the (de Donder) Hamiltonian formulation of a higher derivative Lagrangian field theory can be constructed understanding the latter as a fir…
The Hamilton-Jacobi Formalism for Higher Order Field Theories
L. Vitagliano
We extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of th…
The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories
L. Vitagliano
We generalize the Lagrangian-Hamiltonian formalism of Skinner and Rusk to higher order field theories on fiber bundles. As a byproduct we solve the long standing problem of definin…
Secondary Calculus and the Covariant Phase Space
L. Vitagliano
The covariant phase space of a Lagrangian field theory is the solution space of the associated Euler-Lagrange equations. It is, in principle, a nice environment for covariant quant…