Ricci curvature and quantum geometry

被引：1
|
作者：
Carfora, Mauro [1 ,2 ]
Familiari, Francesca [1 ,3 ]
机构：
[1] Univ Pavia, Dept Phys, Via Bassi 6, I-27100 Pavia, Italy
[2] INFN, Italian Natl Grp Math Phys GNFM, Pavia Sect, Pavia, Italy
[3] INFN, Pavia Sect, Pavia, Italy
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷 / 04期
关键词：
Riemannian geometry and physics; renormalization group; geometric flows; METRIC-MEASURE-SPACES; POLAR FACTORIZATION; 3-MANIFOLDS; MANIFOLDS; MODELS;
D O I：
10.1142/S0219887820500498
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：11
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