3 papers
math.DG2014
Short-time existence for the second order renormalization group flow in general dimensions
Karsten Gimre, Christine Guenther, James Isenberg
We prove local existence for the second order Renormalization Group flow initial value problem on closed Riemannian manifolds in general dimensions, for initial metrics who…
math.DG2013
A geometric introduction to the 2-loop renormalization group flow
Karsten Gimre, Christine Guenther, James Isenberg
The Ricci flow has been of fundamental importance in mathematics, most famously though its use as a tool for proving the Poincaré Conjecture and Thurston's Geometrization Conjectur…
math.DG2012
Second-Order Renormalization Group Flow of Three-Dimensional Homogeneous Geometries
Karsten Gimre, Christine Guenther, James Isenberg
We study the behavior of the second order Renormalization Group flow on locally homogeneous metrics on closed three-manifolds. In the cases and $\text{SO}(3)\times \R…