Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models
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We prove the stability of the torus, and with suitable rescaling, hyperbolic space under the (two-loop) renormalization group flow for the nonlinear sigma model. To prove stability we use similar techniques to \cite{GIK02}, where the stability of the torus under Ricci flow was first established. The main technical tool is maximal regularity theory.
May differ slightly from the published version
May differ slightly from the published version