Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations

Details Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations

2011-05-27

arxiv.org/abs/1105.5646v2

Physical Review Letters 107 (2011) 131303

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v1: 5 pages, 3 figures; v2: 4 pages, minor changes to match published version

Scientific paper

10.1103/PhysRevLett.107.131303

We explore the ultraviolet continuum regime of causal dynamical triangulations, as probed by the flow of the spectral dimension. We set up a framework in which one can find continuum theories that can in principle fully reproduce the behaviour of the latter in this regime. In particular, we show that, in 2+1 dimensions, Hovrava-Lifshitz gravity can mimic the flow of the spectral dimension in causal dynamical triangulations to high accuracy and over a wide range of scales. This seems to provide evidence for an important connection between the two theories.

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