From 216a7e6e5a83f11a35cb0003657f30590a7781bd Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 25 Sep 2019 15:09:58 -0400
Subject: Rewording OP free energy paragraph.

---
 main.tex | 11 ++++++-----
 1 file changed, 6 insertions(+), 5 deletions(-)

(limited to 'main.tex')

diff --git a/main.tex b/main.tex
index 9e1e41a..67b8ef3 100644
--- a/main.tex
+++ b/main.tex
@@ -179,10 +179,11 @@ on \op\ symmetries that can produce linear couplings to strain.  Looking at the
 components present in \eqref{eq:strain-components}, this rules out all of the
 u-reps (which are odd under inversion) and the $\Atg$ irrep.
 
-If the \op\ transforms like $\Aog$, odd terms are allowed in its
-free energy and any transition will be abrupt and not continuous without
-fine-tuning. For $\X$ as any of $\Bog$, $\Btg$, or $\Eg$, the most general quadratic
-free energy density is
+If the \op\ transforms like $\Aog$, odd terms are allowed in its free energy
+and any transition will be abrupt and not continuous without fine-tuning. Since
+this is not a feature of \urusi\ \ho\ physics, we will henceforth rule it out
+as well. For $\X$ as any of $\Bog$, $\Btg$, or $\Eg$, the most general
+quadratic free energy density is
 \begin{equation}
   \begin{aligned}
     f_\op=\frac12\big[&r\eta^2+c_\parallel(\nabla_\parallel\eta)^2
@@ -195,7 +196,7 @@ where $\nabla_\parallel=\{\partial_1,\partial_2\}$ transforms like $\Eu$ and
 $\nabla_\perp=\partial_3$ transforms like $\Atu$. Other quartic terms are
 allowed---especially many for an $\Eg$ \op---but we have included only those
 terms necessary for stability when either $r$ or $c_\perp$ become negative. The
-full free energy functional of $\eta$ and $\epsilon$ is then
+full free energy functional of $\eta$ and $\epsilon$ is
 \begin{equation}
   \begin{aligned}
     F[\eta,\epsilon]
-- 
cgit v1.2.3-70-g09d2

