A Hamiltonian formulation of causal variational principles

@article{Finster2017AHF,
  title={A Hamiltonian formulation of causal variational principles},
  author={Felix Finster and Johannes Kleiner},
  journal={Calculus of Variations and Partial Differential Equations},
  year={2017},
  volume={56},
  pages={1-33}
}
Causal variational principles, which are the analytic core of the physical theory of causal fermion systems, are found to have an underlying Hamiltonian structure, giving a formulation of the dynamics in terms of physical fields in space-time. After generalizing causal variational principles to a class of lower semi-continuous Lagrangians on a smooth, possibly non-compact manifold, the corresponding Euler–Lagrange equations are derived. In the first part, it is shown under additional smoothness… 
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