New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory

Details New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory

2011-05-18

arxiv.org/abs/1105.3705v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages

Scientific paper

We quantise the new connection formulation of D+1 General Relativity developed in our companion papers by Loop Quantum Gravity (LQG) methods. It turns out that all the tools prepared for LQG straightforwardly generalise to the new connection formulation in higher dimensions. The only new challenge is the simplicity constraint. While its "diagonal" components acting at edges of spin network functions are easily solved, its "off-diagonal" components acting at vertices are non trivial and require a Master constraint treatment.

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