Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach

@article{JFernandoBarbero2019DiracsAI,
  title={Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach},
  author={G. J.FernandoBarbero and Bogar D'iaz and Juan Margalef-Bentabol and Eduardo J S Villase{\~n}or},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2019}
}
The goal of this paper is to propose and discuss a practical way to implement the Dirac algorithm for constrained field models defined on spatial regions with boundaries. Our method is inspired in the geometric viewpoint developed by Gotay, Nester, and Hinds (GNH) to deal with singular Hamiltonian systems. We pay special attention to the specific issues raised by the presence of boundaries and provide a number of significant examples -among them field theories related to general relativity- to… Expand
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Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary
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  • Physics, Mathematics
  • Journal of High Energy Physics
  • 2019
Abstract In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchǎr actions on manifolds with boundary. In some cases, they describe well- known models — either at theExpand
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