We present a new dynamical proof of the Thouless–Anderson–Palmer (TAP) equations for the classical Sherrington–Kirkpatrick spin glass at sufficiently high temperature. In our derivation, the TAP equations are a simple consequence of the decay of the two point correlation functions. The methods can also be used to establish the decay of higher order correlation functions. We illustrate this by proving a suitable decay bound on the three point functions from which we derive an analogue of the TAP equations for the two point functions.

中文翻译：

---

Sherrington-Kirkpatrick模型的TAP方程的动力学方法

我们为高温下的经典Sherrington-Kirkpatrick自旋玻璃的Thouless-Anderson-Palmer（TAP）方程提供了新的动力学证明。在我们的推导中，TAP方程是两点相关函数衰减的简单结果。该方法还可以用于建立高阶相关函数的衰减。我们通过证明三个点函数上的一个合适的衰减范围来说明这一点，从中我们可以推导出两个点函数的TAP方程的类似物。