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From dispersion relations to spectral dimension - and back again
Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner
The so-called spectral dimension is a scale-dependent number associated with both geometries and field theories that has recently attracted much attention, driven largely though no…
Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations
Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner
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 continu…
Comment on: Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy
Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner
It has been recently claimed [arXiv:1102.3434] that quantum gravity models where the number of dimensions reduces at the ultraviolet exhibit a potentially observable cutoff in the…
Lower-dimensional Horava-Lifshitz gravity
Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner
We consider Horava-Lifshitz gravity in both 1+1 and 2+1 dimensions. These lower-dimensional versions of Horava-Lifshitz gravity are simple enough to be explicitly tractable, but st…