Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model. (12th January 2016)

• Record Type: Journal Article
• Authors: Corichi, Alejandro; Karami, Asieh; Rastgoo, Saeed; Vukašinac, Tatjana
• Is Part Of: Classical and quantum gravity. Volume 33:Number 3(2016:Feb.)
• Publication Date: 2016-01-12
• Subjects: canonical gravity -- polar-type variables -- loop quantum gravity -- Lie constraint algebra -- 2D generic dilatonic models -- black holes; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/3/035011
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We consider a class of two-dimensional dilatonic models, and revisit them from the perspective of a new set of 'polar type' variables. These are motivated by recently defined variables within the spherically symmetric sector of 4D general relativity. We show that for a large class of dilatonic models, including the case with matter, one can perform a series of canonical transformations in such a way that the Poisson algebra of the constraints becomes a Lie algebra. Furthermore, we construct Dirac observables and a reduced Hamiltonian that accounts for the time evolution of the system.