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Renormalization Group and the Ricci flow

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.

preprint2010arXivOpen access
Mauro Carfora
math-phmath.MPmath.DGhep-th
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Mauro Carfora

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