We study the mean-field Ising spin glass model with external field, where the random symmetric couplings matrix is orthogonally invariant in law. For sufficiently high temperature, we prove that the replica-symmetric prediction is correct for the first-order limit of the free energy. Our analysis is an adaption of a "conditional quenched equals annealed" argument used by Bolthausen to analyze the high-temperature regime of the Sherrington-Kirkpatrick model. We condition on a sigma-field that is generated by the iterates of an Approximate Message Passing algorithm for solving the TAP equations in this model, whose rigorous state evolution was recently established.

翻译：我们用外部外野研究平均场是旋转玻璃模型, 随机对称组合矩阵在法律上是任意的。 对于足够高的温度, 我们证明复制的对称预测对自由能量的第一阶限制是正确的。 我们的分析是对Bolthausen用来分析Sherrington- Kirkpatrick模型高温机制的“ 有条件的解冻等同的麻醉” 参数的调整。 我们的条件是一个由类似信息传输算法的循环产生的西格玛场, 用于解决这个模型中的TAP方程式, 最近确定了该模型的严格状态演化 。