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-rw-r--r--bezout.tex3
1 files changed, 2 insertions, 1 deletions
diff --git a/bezout.tex b/bezout.tex
index 9a8b65e..9b4ec0c 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -44,7 +44,7 @@ At any critical point $\epsilon=H/N$, the average energy.
When compared with $z^*z=N$, the constraint $z^2=N$ may seem an unnatural
extension of the real $p$-spin spherical model. However, a model with this
nonholomorphic spherical constraint has a disturbing lack of critical points
-nearly everywhere, since $0=\partial H/\partial z^*=-p\epsilon z$ is only
+nearly everywhere, since $0=\partial^* H=-p\epsilon z$ is only
satisfied for $\epsilon=0$, as $z=0$ is forbidden by the constraint.
Since $H$ is holomorphic, a point is a critical point of its real part if and
@@ -76,6 +76,7 @@ form
= \int dx\,dy\,\delta(\mathop{\mathrm{Re}}\partial H)\delta(\mathop{\mathrm{Im}}\partial H)
|\det\partial\partial H|^2.
\end{equation}
+$\langle|\partial_i\partial_j H_0|^2\rangle=p(p-1)|z|^2/2N$ and $\langle(\partial_i\partial_j H_0)^2\rangle=p(p-1)\kappa z^2/2N$
\bibliographystyle{apsrev4-2}
\bibliography{bezout}