From loop quantum gravity to cosmology: the two-vertex model
arXiv:2403.15320 · doi:10.1103/PhysRevD.109.126011
Abstract
We study the notion of volume and its dynamics in the loop-quantum-gravity truncation known as the two-vertex model. We also show that its U(N)-symmetry reduction provides the old effective dynamics of loop quantum cosmology with an arbitrary perfect barotropic fluid content. A suitable modification of the Poisson bracket structure of the U(N)-symmetric model leads to the loop quantum gravity improved dynamics.
12 pages, 3 figures
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