Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
Makoto Sakamoto
TL;DR
This paper demonstrates that in the strong coupling limit, Einstein gravity exhibits a z=2 Lifshitz point, supporting the idea that quantum gravity at short distances can be described by a nonrelativistic system with dynamical critical exponent z>1.
Contribution
It provides an exact solution to the Wheeler-DeWitt equation in the strong coupling limit, revealing a z=2 Lifshitz point in quantum Einstein gravity.
Findings
Supports the existence of a z=2 Lifshitz point in quantum gravity.
No solutions with z>2 are found at leading order.
Validates Horava's proposal for nonrelativistic quantum gravity at short distances.
Abstract
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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