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The geometric exegesis of the Dirac algorithm

AuthorsBarbero González, Jesús Fernando ; Díaz, Bogar; Margalef-Bentabol, Juan ; Villaseñor, Eduardo J. S.
Issue Date16-Sep-2019
CitationIsolated horizons and near horizon geometries, loop quantum gravity, CR structures and spacetimes, Einstein equations and the twistor equation (2019)
AbstractConstrained systems play a central role in quantum field theory, in particular in those frameworks relying on canonical quantization such as Loop Quantum Gravity. The method of choice for the Hamiltonian treatment of singular Lagrangian systems relies on the celebrated Dirac algorithm. In the present talk we review this approach from a geometric perspective in a way that it is tailored to the treatment of field theories. We will pay special attention to a number of issues that play an special role in the presence of spatial boundaries.
DescriptionConference on the occasion of Jerzy Lewandowski's 60th birthday (Jurekfest). -- Presentación de 38 diapositivas, University of Warsaw, Warszawa, Poland, September 16-20, 2019
Appears in Collections:(CFMAC-IEM) Comunicaciones congresos
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