The ground state of quantum gravity with positive cosmological constant

Physics

Scientific paper

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Quantum Gravity

Scientific paper

The main results of loop quantum gravity, in the connection representation, are summarized, for the case Λ > 0. These include the existence of a ground state, discoverd by Kodama, which both is an exact solution to the constraints of quantum gravity and has a semiclassical limit which is deSitter spacetime. The long wavelength excitations of this state are known to reproduce both gravitons and, when matter is included, quantum field theory on deSitter spacetime. Quantum gravity for Λ > 0 also has an intrinsic thermality, due to the existence of a periodicity on the full configuration space, which generalizes and explains the thermal behavior of quantum fields on deSitter spacetime.

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