2009/05/31 by Makoto Sakamoto · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.79.124038
published as Phys.Rev.D79:124038,2009 · 10 pages, Added references
arxiv created 2009/06/18 · openalex publication_date 2009/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 Ho\ifmmode \checkr\else \vr\fiava'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.