The Causal Dynamical Triangulations of Horava-Lifshitz Gravity: First Results and New Tools

dynamical triangulations is a novel path integral based approach to the
quantization of classical theories of gravity. I apply this approach to
Horava-Lifshitz gravity, a recently proposed power-counting renormalizable yet
unitary such theory. In particular, I study the ground state amplitude of
(2+1)-dimensional projectable Horava-Lifshitz gravity for spherical spacetime
topology. This amplitude exhibits three distinct phases of quantum spacetime
geometry. I explore the physical properties of these phases and their relation
to the analogous phases in the causal dynamical triangulations of Einstein


Studying Horava-Lifshitz gravity has
motivated the adaptation of two standard techniques---the computation of
transition amplitudes and the extraction of renormalization group flows---to
the setting of causal dynamical triangulations. After introducing the
methodologies behind these new tools, I present the preliminary results of
their implementation. These two techniques also hold promise for elucidating
the nature of gauge invariance in and the relation of other approaches to
causal dynamical triangulations.

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Event Date: 
Tuesday, December 4, 2012 - 15:30 to 17:00
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