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authorJaron Kent-Dobias <jaron@kent-dobias.com>2019-08-24 15:58:09 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2019-08-24 15:58:09 -0400
commitbf115d332761635d19084ffbef296ee1a518ecd3 (patch)
tree4623b5d7c16fa3bb5b309260ed4086fc668deb5b
parent57151805ef46c88b532f94826930ea366862be14 (diff)
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small clarification
-rw-r--r--main.tex3
1 files changed, 2 insertions, 1 deletions
diff --git a/main.tex b/main.tex
index 8070a95..1839913 100644
--- a/main.tex
+++ b/main.tex
@@ -371,9 +371,10 @@ $\langle\epsilon\rangle$ (or
$\eta_\star(\langle\epsilon\rangle)=\langle\eta\rangle$) yields
\begin{equation}
\bigg(\frac{\delta\eta_\star[\epsilon](x)}{\delta\epsilon_\X(x')}\bigg)^\recip\bigg|_{\epsilon=\langle\epsilon\rangle}
- =-\frac2b\chi^\recip(x,x')-\frac{b}{2C_\X}\delta(x-x').
+ =-\frac2b\chi^\recip(x,x')-\frac{b}{2C_\X}\delta(x-x'),
\label{eq:recip.deriv.op}
\end{equation}
+where $\chi^\recip$ is the \op\ susceptibilty given by \eqref{eq:sus_def}.
Upon substitution into \eqref{eq:big.boy} and taking the Fourier transform of
the result, we finally arrive at
\begin{equation}