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.

引用

页数：11

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