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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-03-25 12:00:10 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-03-25 12:00:10 +0100 |
commit | 5e836ed49c669644b9b36eb02d0774b9d6535f60 (patch) | |
tree | cdcf0ead6eb5504fc170b6ba8f197552823a2d65 /stokes.tex | |
parent | f42fd6adb9e4d3ba309ca30805472f72e81cd375 (diff) | |
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@@ -1517,6 +1517,18 @@ constructed by continuing the series for individual thimbles to higher powers in $\beta$, which would be equivalent to allowing non-constant terms in the Jacobian over the thimble. +\begin{figure} + \hfill\includegraphics{figs/obuchi_3-spin.pdf} + \caption{ + Phases of the 3-spin model in the complex-$\beta$, following Obuchi \& + Takahashi \cite{Obuchi_2012_Partition-function}. The phase P2 contains a + nonzero density of zeros of the partition function, while the `spin-glass' + phase SG does not. Analytic continuation via thimbles correctly predicts + the boundary between these two phases when $|\beta|\gg1$ to be + $\operatorname{Re}\beta=-\epsilon_0$, shown with a dashed line. + } \label{fig:obuchi_3-spin} +\end{figure} + \section{The $p$-spin spherical models: numerics} |