Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point

Details Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point

2009-05-27

arxiv.org/abs/0905.4326v2

Phys.Rev.D79:124038,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Added references

Scientific paper

10.1103/PhysRevD.79.124038

We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D= odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z>1. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a z=2 Lifshitz point but no other z>2 solutions to leading order of the strong coupling expansion.

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