Renormalization Group and the Ricci flow
High Energy Physics - Theory
2010-01-21 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1001.3595,
title = {Renormalization Group and the Ricci flow},
author = {Mauro Carfora},
journal= {arXiv preprint arXiv:1001.3595},
year = {2010}
}
Comments
30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania April 19-24, 2009- Proceedings to appear in Milan Journal of Mathematics (Birkhauser)