Ricci curvature and quantum geometry
Mathematical Physics
2021-02-02 v1 Differential Geometry
math.MP
Abstract
We describe a few elementary aspects of the circle of ideas associated with a quantum field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian structures are generated out of the spectrum of (random or quantum) fluctuations around a background fiducial geometry. In such a scenario, Ricci curvature with its subtle connections to diffusion, optimal transport, Wasserestein geometry, and renormalization group, features prominently.
Cite
@article{arxiv.2102.00269,
title = {Ricci curvature and quantum geometry},
author = {Mauro Carfora and Francesca Familiari},
journal= {arXiv preprint arXiv:2102.00269},
year = {2021}
}
Comments
11 pages