Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models

Details Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models

2008-10-22

arxiv.org/abs/0810.3954v1

Lett.Math.Phys.84:149-157,2008

Physics

High Energy Physics

High Energy Physics - Theory

May differ slightly from the published version

Scientific paper

10.1007/s11005-008-0245-8

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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