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arXiv · 1105.5646

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

Thomas P. Sotiriou·Matt Visser·Silke Weinfurtner
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Abstract

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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Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner. 2011-11-03. Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations. https://doi.org/10.1103/physrevlett.107.131303

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