Added some outlook talk.

1 files changed, 12 insertions, 1 deletions

diff --git a/ising_scaling.tex b/ising_scaling.tex
index 668ba63..50de498 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -927,7 +927,18 @@ the ratio.
 
 \section{Outlook}
 
-The successful smooth description of the Ising free energy produced in part by analytically continuing the singular imaginary part of the metastable free energy inspires an extension of this work: a smooth function that captures the universal scaling \emph{through the coexistence line and into the metastable phase}. Indeed, the tools exist to produce this: by writing $t=R(1-\theta^2)(1-(\theta/\theta_m)^2)$ for some $\theta_m>\theta_0$, the invariant scaling combination
+We have introduced explicit approximate functions forms for the two-dimensional
+Ising universal scaling function in the relevant variables. These functions are
+smooth to all orders, include the correct singularities, and appear to converge
+exponentially to the function as they are fixed to larger polynomial order.
+
+The successful smooth description of the Ising free energy produced in part by
+analytically continuing the singular imaginary part of the metastable free
+energy inspires an extension of this work: a smooth function that captures the
+universal scaling \emph{through the coexistence line and into the metastable
+phase}. Indeed, the tools exist to produce this: by writing
+$t=R(1-\theta^2)(1-(\theta/\theta_m)^2)$ for some $\theta_m>\theta_0$, the
+invariant scaling combination
 
 \begin{acknowledgments}
   The authors would like to thank Tom Lubensky, Andrea Liu, and Randy Kamien