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| -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. |