一个精确可解的非平衡模型的大时间行为
Large time behavior in an exactly soluble out of equilibrium model
摘要：
我们研究了一个完全可溶（淬火）模型的背景下，平衡延迟，先进和相关的格林函数的行为。我们表明，最低阶，即使捏奇点取消，有一个剩余的线性依赖于时间间隔（淬火后）的相关格林函数，这可能会使微扰理论失效。我们总结的扰动系列在这个简单的模型中的所有订单，并明确表明，完整的格林函数表现良好，即使是大的时间间隔。相关格林函数的确切形式使我们能够提取出一个明显的正分布函数，在淬火后的很长一段时间内，它具有淬火前初始系统频率的记忆。
英文摘要：
We study the behavior of out of equilibrium retarded, advanced and correlated Green's functions within the context of an exactly soluble (quenched) model. We show, to the lowest order, that even though the pinch singularities cancel, there is a residual linear dependence on the time interval (after the quench) in the correlated Green's function which may invalidate perturbation theory. We sum the perturbation series to all orders in this simple model and show explicitly that the complete Green's functions are well behaved even for large time intervals. The exact form of the correlated Green's function allows us to extract a manifestly positive distribution function, for large times after the quench, which has a memory of the frequency of the initial system before the quench.
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