From bf115d332761635d19084ffbef296ee1a518ecd3 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Sat, 24 Aug 2019 15:58:09 -0400 Subject: small clarification --- main.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) 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} -- cgit v1.2.3-70-g09d2