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

Barbero González, Jesús Fernando; Díaz Jiménez, Bogar; Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús

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

Author(s): Barbero González, Jesús Fernando; Díaz Jiménez, Bogar; Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús

Publisher: IOP Publishing

Issued date: 2019-09-27

Citation: Barbero G, J.F., Díaz, B., Margalef-Bentabol, J. and Villaseñor, E. (2019). Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach. Classical and Quantum Gravity , 36, 205014

ISSN: 0264-9381

DOI: https://www.doi.org/10.1088/1361-6382/ab436b

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia, Innovación y Universidades (España)

Sponsor: This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación/FIS2017-84440-C2-2-P Grant. Bogar Díaz is supported by the CONACYT (México) postdoctoral research fellowship N 371778. Juan Margalef–Bentabol is supported by 2017SGR932 AGAUR/Generalitat de Catalunya, MTM2015-69135-P/FEDER, MTM2015-65715-P and the ERC Starting Grant 335079. He is also supported in part by the Eberly Research Funds of Penn State, by the NSF grant PHY-1806356, and by the Urania Stott fund of Pittsburgh foundation UN2017-92945.

Project: Gobierno de España. FIS2017-84440-C2-2-P

Keywords: Field theory with boundaries , Hamiltonian formulation , Dirac algorithm

URI: http://hdl.handle.net/10016/32260

Abstract:

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 ( [+]

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