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| -rw-r--r-- | bezout.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -303,7 +303,7 @@ $\kappa$ and $a$, which yields the $a$-dependent complexity =\log(p-1)-\frac12\log\left(\frac{1-|\kappa|^2a^{-2(p-1)}}{1-a^{-2}}\right). \end{equation} Notice that the limit of this expression as $a\to\infty$ corresponds with -\eqref{eq:bezout}, as expected. The complexity at zero energy can be seen +\eqref{eq:bezout}, as expected. Equation \eqref{eq:complexity.zero.energy} is plotted as a function of $a$ for several values of $\kappa$ in Fig.~\ref{fig:complexity}. For any $|\kappa|<1$, the complexity goes to negative infinity as $a\to1$, i.e., as the spins are restricted to the reals. |