Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models
High Energy Physics - Theory
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.0810.3954,
title = {Stability of the (two-loop) Renormalization Group Flow for Nonlinear Sigma Models},
author = {Christine Guenther and Todd A. Oliynyk},
journal= {arXiv preprint arXiv:0810.3954},
year = {2008}
}
Comments
May differ slightly from the published version