Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.161301
Keywords
-
Categories
Funding
- NSF [PHY-0555662]
- DOE [DE-AC0376SF00098]
- BCTP
- Direct For Mathematical & Physical Scien [0855653] Funding Source: National Science Foundation
- Division Of Physics [0855653] Funding Source: National Science Foundation
Ask authors/readers for more resources
We extend the definition of spectral dimension d(s) (usually defined for fractal and lattice geometries) to theories in spacetimes with anisotropic scaling. We show that in gravity with dynamical critical exponent z in D+1 dimensions, the spectral dimension of spacetime is d(s)=1+D/z. In the case of gravity in 3+1 dimensions with z=3 in the UV which flows to z=1 in the IR, the spectral dimension changes from d(s)=4 at large scales to d(s)=2 at short distances. Remarkably, this is the behavior found numerically by Ambjorn et al. in their causal dynamical triangulations approach to quantum gravity.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available