From 1cd60cb1e97c054aa3a52eb62bac3e51b705d967 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Tue, 2 Oct 2018 20:14:15 -0400
Subject: added small explanatory comment after detailed balance calculation

---
 monte-carlo.tex | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/monte-carlo.tex b/monte-carlo.tex
index e47bf11..96942da 100644
--- a/monte-carlo.tex
+++ b/monte-carlo.tex
@@ -242,7 +242,8 @@ reverse process $P(\set{s'}\to\set s)$ by
   \end{aligned}
 \]
 \end{widetext}
-whence detailed balance is also satisfied. 
+whence detailed balance is also satisfied, using $r=r^{-1}$ and $Z(r\cdot
+s',s')=Z(r\cdot s,s)$.
 
 \section{Adding the field}
 
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