Work

Renormalization Group and the Ricci flow

Year: 2010

Type: preprint

Abstract: We discuss from a geometric point of view the connection between the renormalization group flow for non--linear sigma models and the Ricci flow. This offers new perspectives in providing a geometrical landscape for 2D quantum field theories. In particular we argue that the structure of Ricci flow singularities suggests a natural way for extending, beyond the weak coupling regime, the embedding of the Ricci flow into the renormalization group flow.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1001.3595

Author: Carfora, Mauro

Institution: Istituto Nazionale di Fisica Nucleare, Sezione di Pavia

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2595564067

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