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arXiv · 1508.03036

Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model

Alejandro Corichi·Asieh Karami·Saeed Rastgoo·Tatjana Vukašinac
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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 \emph{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. Thus, with our formulation, the systems under consideration are amenable to be quantized with loop quantization methods.

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Alejandro Corichi, Asieh Karami, Saeed Rastgoo, Tatjana Vukašinac. 2015-08-12. Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model. https://doi.org/10.1088/0264-9381%2F33%2F3%2F035011

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