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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-10 12:18:27 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-10 12:18:27 +0100 |
commit | cd03b8d93912907348899b738511a4d0b5adf065 (patch) | |
tree | 34725eb66daacedbbd6d75b8133e265ca960db74 | |
parent | d43ebd4098bffa50a7aa238233dfcecc7accc62a (diff) | |
download | PRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.tar.gz PRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.tar.bz2 PRR_3_023064-cd03b8d93912907348899b738511a4d0b5adf065.zip |
Added some bolded comments.
-rw-r--r-- | bezout.tex | 2 |
1 files changed, 2 insertions, 0 deletions
@@ -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. |