Covariant Hamiltonian Field Theories on Manifolds with Boundary: Yang-Mills Theories

@article{Ibort2015CovariantHF,
  title={Covariant Hamiltonian Field Theories on Manifolds with Boundary: Yang-Mills Theories},
  author={Alberto Ibort and Amelia Spivak},
  journal={arXiv: Mathematical Physics},
  year={2015}
}
The multisymplectic formalism of field theories developed by many mathematicians over the last fifty years is extended in this work to deal with manifolds that have boundaries. In particular, we develop a multisymplectic framework for first order covariant Hamiltonian field theories on manifolds with boundaries. This work is a geometric fulfillment of Fock's characterization of field theories as it appears in recent work by Cattaneo, Mnev and Reshetikhin [Ca14]. This framework leads to a true… 

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