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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-05-28 12:21:56 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-05-28 12:21:56 +0200 |
commit | af9198832a6928147e33344bb12a0271d52e690e (patch) | |
tree | ceb3bce0622f195d6676bdd2d4e43fa3049faf40 /2-point.tex | |
parent | 36769c4221d3ee32993f14a937da7d039b8cb9d1 (diff) | |
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diff --git a/2-point.tex b/2-point.tex index d02fbfd..2c61253 100644 --- a/2-point.tex +++ b/2-point.tex @@ -729,11 +729,11 @@ and a specific realization of the disordered Hamiltonian is \end{equation} where the first $\delta$-function keeps the configurations in the tangent plane, and the second enforces the spherical constraint. We have anticipated -treating the logarithm with replicas. We are of course interested in -points $\mathbf s$ that have certain properties: they are stationary points of -$H$ with given energy density and stability, and fixed overlap from a reference -configuration $\pmb\sigma$. We therefore average the free energy above over -such points, giving +treating the logarithm with replicas. We are interested in points $\mathbf s$ +that have certain properties: they are stationary points of $H$ with given +energy density and stability, and fixed overlap from a reference configuration +$\pmb\sigma$. We therefore average the free energy above over such points, +giving \begin{equation} \begin{aligned} F_H(\beta\mid E_1,\mu_1,q,\pmb\sigma) |