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diff --git a/figs/obuchi_3-spin.pdf b/figs/obuchi_3-spin.pdf Binary files differnew file mode 100644 index 0000000..920681e --- /dev/null +++ b/figs/obuchi_3-spin.pdf @@ -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} |