Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models
arXiv:0810.3954 · doi:10.1007/s11005-008-0245-8
Abstract
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.
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