Abstract
We extend the definition of “spectral dimension” (usually defined for fractal and lattice geometries) to theories in spacetimes with anisotropic scaling. We show that in gravity with dynamical critical exponent in dimensions, the spectral dimension of spacetime is . In the case of gravity in dimensions with in the UV which flows to in the IR, the spectral dimension changes from at large scales to at short distances. Remarkably, this is the behavior found numerically by Ambjørn et al. in their causal dynamical triangulations approach to quantum gravity.
- Received 27 February 2009
DOI:https://doi.org/10.1103/PhysRevLett.102.161301
©2009 American Physical Society
Synopsis
An approach to a theory of quantum gravity
Published 20 April 2009
Finding a quantum theory of gravity remains one of the great unsolved problems in modern physics. Two papers present a quantum gravity theory that, while making different assumptions than general relativity, still reproduces Einstein’s theory in certain limits.
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