Canonical quantization of Plebanski gravity in diagonal variables

Details Canonical quantization of Plebanski gravity in diagonal variables Canonical quantization of Plebanski gravity in diagonal variables

2008-05-26

arxiv.org/abs/0805.4004v5

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages

Scientific paper

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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