summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 12:18:27 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 12:18:27 +0100
commitcd03b8d93912907348899b738511a4d0b5adf065 (patch)
tree34725eb66daacedbbd6d75b8133e265ca960db74
parentd43ebd4098bffa50a7aa238233dfcecc7accc62a (diff)
downloadPRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.tar.gz
PRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.tar.bz2
PRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.zip
Added some bolded comments.
-rw-r--r--bezout.tex2
1 files changed, 2 insertions, 0 deletions
diff --git a/bezout.tex b/bezout.tex
index 5b2a3c8..67544c4 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -286,6 +286,7 @@ the numerator of the Green function gives
\right]
\right\}
\end{equation}
+ \textcolor{red}{\textbf{Not sure if the $N$ belongs here...}}
with sums taken over repeated latin indices.
The average can then be made over $J$ and Hubbard--Stratonovich used to change
variables to replica matrices
@@ -311,6 +312,7 @@ values follows from the jump across the cut, or
\begin{equation}
\rho(\sigma)=\frac1{i\pi}\left(\lim_{\mathop{\mathrm{Im}}\sigma\to0^+}\overline G(\sigma)-\lim_{\mathop{\mathrm{Im}}\sigma\to0^-}\overline G(\sigma)\right)
\end{equation}
+\textcolor{red}{\textbf{Missing a factor of two? Please check...}}
The transition from a one-cut to two-cut singular value spectrum naturally
corresponds to the origin leaving the support of the eigenvalue spectrum.