Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three
Analysis of PDEs
2014-01-13 v2 Differential Geometry
Abstract
Given a compact three-manifold together with a Riemannian metric, we prove the short-time existence of a solution to the renormalization group flow, truncated at the second order term, under a suitable hypothesis on the sectional curvature of the initial metric.
Cite
@article{arxiv.1306.1721,
title = {Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three},
author = {Laura Cremaschi and Carlo Mantegazza},
journal= {arXiv preprint arXiv:1306.1721},
year = {2014}
}