The continuum limit of loop quantum gravity - a framework for solving the theory
General Relativity and Quantum Cosmology
2016-10-25 v2 High Energy Physics - Theory
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1409.1450,
title = {The continuum limit of loop quantum gravity - a framework for solving the theory},
author = {Bianca Dittrich},
journal= {arXiv preprint arXiv:1409.1450},
year = {2016}
}
Comments
draft chapter for a volume edited by A. Ashtekar and J. Pullin, to be published in the World Scientific series "100 Years of General Relativity", v2: small changes and updated references