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

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arxiv 1105.3705 v2 pith:K473H2QY submitted 2011-05-18 gr-qc hep-thmath-phmath.MP

Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords quantumactingcomponentsconnectiondimensionsformulationgravitychallenge
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We quantise the new connection formulation of D+1 dimensional 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 more elaborate treatment.

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Cited by 1 Pith paper

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  1. Testing Einstein Maxwell Power-Yang-Mills Hair via Black Hole Photon Rings

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    For the p=1/2 Einstein-Maxwell power-Yang-Mills black hole, increasing the hair parameter Q_YM shrinks the horizon, photon sphere, ISCO, shadow, and photon ring, an effect equivalent to a mass shift in Reissner-Nordström.

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