From e879237a986bd97ccafc3fbe4c6ba0fd26f9af9c Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Sat, 7 Oct 2023 15:30:55 +0200 Subject: Some work. --- marginal.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/marginal.tex b/marginal.tex index 96c2a99..ea0ab95 100644 --- a/marginal.tex +++ b/marginal.tex @@ -146,8 +146,8 @@ We will discuss at the end of this paper when these order parameters can be expe \begin{equation} \begin{aligned} &\sum_a^n m_a\beta\omega+m_1\hat x\omega+\sum_{a}^n\left[m_a\beta^2f''(1)(1+(m_a-1)a_0^2)+\hat x^2f''(1)m_a+\beta\hat xf''(1)(1+(m_a-1)a_0)\right]\\ - &+\hat\beta^2f(C_{ab})+(2\hat\beta(R_{ab}-F_{ab})-D_{ab})f'(C_{ab})+(R_{ab}^2-F_{ab}^2)f''(C_{ab}) - +\log\det\begin{bmatrix}C&iR\\iR&D\end{bmatrix}-\log\det F + &+\mathcal S(\hat\beta,C,R,D) -2\hat\beta F_{ab}f'(C_{ab})-F_{ab}^2f''(C_{ab}) + -\log\det F +mn\log(1-a_0)+mn\frac{a_0}{1-a_0} \end{aligned} \end{equation} -- cgit v1.2.3-70-g09d2