Renormalization Group and the Ricci flow

Details Renormalization Group and the Ricci flow Renormalization Group and the Ricci flow

2010-01-20

arxiv.org/abs/1001.3595v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Ge

Scientific paper

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.

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