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BRST structure of general relativity in terms of new variables

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TLDR
The structure of the Poisson-brackets algebra of constraints of general relativity is reexamined using the recently introduced spinorial variables to provide a point of departure for a nonperturbative quantization scheme for general relativity.
Abstract
The structure of the Poisson-brackets algebra of constraints of general relativity is reexamined using the recently introduced spinorial variables. Three different combinations of constraints are analyzed and their relative merits are discussed. In each case we construct the corresponding expression of the Becchi-Rouet-Stora-Tyutin charge. These expressions provide a point of departure for a nonperturbative quantization scheme for general relativity.

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Background independent quantum gravity: A Status report

TL;DR: Loop quantum gravity as discussed by the authors is a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of geometry.
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Ashtekar formulation of general relativity and loop space nonperturbative quantum gravity: A Report

TL;DR: In this article, a nonperturbative approach to quantum theory has been constructed in terms of the Wilson loops of the Ashtekar connection, which has led to the complete solution of the quantum diffeomorphism constraint, to the discovery of an infinite-dimensional class of solutions to the quantum gravitational dynamics, and to certain surprising indications on the existence of a discrete structure of spacetime around the Planck length.
Journal ArticleDOI

Geometrodynamics vs. connection dynamics

TL;DR: In this paper, the authors describe the mathematical relationship between geometrodynamics and connection dynamics in the context of the classical theories of 2+1 and 3+1 gravity.
Journal ArticleDOI

Geometrodynamics vs. Connection Dynamics

TL;DR: In this paper, the authors describe the mathematical relationship between geometrodynamics and connection dynamics in the context of the classical theories of 2+1 and 3+1 gravity.
Journal ArticleDOI

Null hypersurfaces and new variables

TL;DR: In this paper, the construction of a new variables canonical formalism for Einstein's theory of gravity is investigated when the time parameter has level sets which are null hypersurfaces, and the configuration space variables are the components of a tetrad and the self-dual components of the connection.
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