关于非平衡格林函数中频率和时标的注记
Notes on frequencies and timescales in nonequilibrium Green's functions
摘要：
我们讨论了强耦合理论中的非平衡格林函数的衰荡行为与全息对偶的准正规模平衡的重点。我们详细研究了Vaidya-AdS时空中探测标量的时间分辨谱函数，作为对先前工作arXiv：1603.06935的补充，使用进一步的数值结果在非常非绝热的温度变化。结果表明，通过维格纳变换得到的非平衡谱函数的弛豫是由最低的准正规模频率。在频率分析中还观察到背景温度变化的时间尺度。然后，我们考虑一个玩具模型的准正规模式行为的动机，并讨论这些主要功能的数值结果简单地实现。
英文摘要：
We discuss the ringdown behavior of the nonequilibrium Green's function in a strongly coupled theory with the holographic dual with a focus on quasinormal-mode equilibration. We study the time resolved spectral function for a probe scalar in Vaidya-AdS spacetime in detail as a complement to the preceding work arXiv:1603.06935 using further numerical results in very nonadiabatic temperature changes. It is shown that the relaxation of the nonequilibrium spectral function obtained through the Wigner transform is governed by the lowest quasinormal mode frequency. The timescale of the background temperature change is also observed in the frequency analysis. We then consider a toy model motivated by the quasinormal mode behavior and discuss these main features in numerical results are simply realized.
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