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

Causal

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

gravity.

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.

Event Type:

Seminar

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Event Date:

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

Location:

Space Room

©2012 Perimeter Institute for Theoretical Physics