arXiv 1207.02432012-07-01hep-thcond-mat.stat-mech

关于老化动力学的三点函数和AdS/CFT Correspondence

On the 3-point functions of Aging Dynamics and the AdS/CFT Correspondence

Djordje Minic, Diana Vaman, Chaolun Wu

备注：: 4 pages
DOI：: 10.1103/PhysRevLett.109.131601

摘要：

老化可以通过丢弃时间平移生成元来实现为薛定谔代数的子代数。虽然年龄代数的2点函数已经知道了一段时间，但对更高的$n$ -点算子知之甚少。在这封信中，我们提出了新的3点标量准素算子。我们发现，老化的阻尼器是不同于薛定谔阻尼器的超过某些敷料与时间相关的因素，是与2点函数的情况下。在现有文献中，老化的全息几何是通过对薛定谔理论的全息对偶进行某些一般坐标变换而得到的。因此，由全息术导出的Aging二点函数看起来就像是用含时因子修饰的薛定谔二点函数。然而，由于在这封信中获得的三点函数不仅仅是穿着薛定谔的散射，而是取决于一个额外的时间平移破坏变量，我们得出结论，最普遍的全息实现老化尚未找到。

英文摘要：

Aging can be realized as a sub-algebra of Schrödinger algebra by discarding the time-translation generator. While the 2-point functions of the Age algebra have been known for some time, little else was known about the higher $n$-point correlators. In this letter we present novel 3-point correlators of scalar primary operators. We find that the Aging correlators are distinct from the Schrödinger correlators by more than certain dressings with time-dependent factors, as was the case with 2-point functions. In the existing literature, the holographic geometry of Aging is obtained by performing certain general coordinate transformations on the holographic dual of the Schrödinger theory. Consequently, the Aging 2-point functions derived from holography look as the Schrödinger 2-point functions dressed by time-dependent factors. However, since the 3-point functions obtained in this letter are not merely dressed Schrödinger correlators and instead depend on an additional time-translation breaking variable, we conclude that the most general holographic realization of Aging is yet to be found.

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