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arXiv · 0805.4004

Canonical quantization of Plebanski gravity in diagonal variables

Eyo Eyo Ita III
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Abstract

In this paper we have carried out a transformation from Ashtekar's theory of GR into a reduced theory where the physical degrees of freedom are explicit. We have performed the canonical analysis, computed the classical dynamics and have performed a quantization on this reduced space, constructing a Hilbert space of states for vanishing cosmological constant. Finally, we have clarified the canonical structure of the dual theory in relation to the original Ashtekar theory.

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Eyo Eyo Ita III. 2008-05-26. Canonical quantization of Plebanski gravity in diagonal variables. https://arxiv.org/abs/0805.4004

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