People interested in quantum gravity research may wish to take note of Dittrich's September 2014 paper which I believe represents a significant step towards constructing the continuum limit and the physical Hilbert space of LQG. It will be on the third quarter MIP poll. I'll get the link.(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/abs/1409.1450

http://inspirehep.net/search?p=find eprint 1409.1450

The continuum limit of loop quantum gravity - a framework for solving the theory

Bianca Dittrich

(Submitted on 4 Sep 2014)

The construction of a continuum limit for the dynamics of loop quantum gravity is unavoidable to complete the theory. We explain that such a construction is equivalent to obtaining the continuum physical Hilbert space, which encodes the solutions of the theory. We present iterative coarse graining methods to construct physical states in a truncation scheme and explain in which sense this scheme represents a renormalization flow. We comment on the role of diffeomorphism symmetry as an indicator for the continuum limit.

18 pages, 1 figure, for a volume edited by A. Ashtekar and J. Pullin, to be published in the World Scientific series "100 Years of General Relativity"

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# Dittrich's "Continuum Limit of LQG" is a landmark paper

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