Instanton representanton of Plebanski gravity. Gravitational coherent states

Details Instanton representanton of Plebanski gravity. Gravitational coherent states Instanton representanton of Plebanski gravity. Gravitational coherent states

2008-06-25

arxiv.org/abs/0806.4180v4

Hadronic Journal, Vol 33, No. 2 (2010) p.197

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages

Scientific paper

In this paper we show that the instanton representation of Plebanski gravity exhibits a Hilbert space of harmonic oscillator-like coherent states. We put in place the formalism and carry out the construction of the states, and we elucidate on their physical interpretation. Additionally, we provide an invertible map between the Ashtekar variables and this Hilbert space of states, via the instanton representation. Finally, we compare and constrast our formalism and some of our results with the corresponding ones in loop quantum gravity.

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