Send to

Choose Destination
See comment in PubMed Commons below
Phys Rev Lett. 2009 Apr 24;102(16):161301. Epub 2009 Apr 20.

Spectral dimension of the universe in quantum gravity at a lifshitz point.

Author information

Berkeley Center for Theoretical Physics, University of California, Berkeley, California 94720-7300, USA.


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 Ambjørn et al. in their causal dynamical triangulations approach to quantum gravity.

PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Full text links

    Icon for American Physical Society
    Loading ...
    Support Center