A thermal product formula
A thermal product formula
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DOI：
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发表时间：
2023
影响因子：
5.4
通讯作者：
A. Zhiboedov
中科院分区：
文献类型：
--
作者：
Matthew Dodelson;C. Iossa;Robin Karlsson;A. Zhiboedov
摘要
我们证明了全息热双边两点相关器的形式是准简正模(QNM)的乘积形式。由于这一事实，两点函数允许在QNM的位置具有正不连续性的自然色散表示。我们探讨了算符乘积展开、黑洞内部奇异性的存在以及相关器的流体力学展开对量子网格子结构的一般约束。我们通过具体的例子来说明这些约束。我们认为，热关联器的乘积公式可能适用于更一般的大N个混沌系统，并且我们在几个模型中检验了这一假设。
Abstract
We show that holographic thermal two-sided two-point correlators take the form of a product over quasi-normal modes (QNMs). Due to this fact, the two-point function admits a natural dispersive representation with a positive discontinuity at the location of QNMs. We explore the general constraints on the structure of QNMs that follow from the operator product expansion, the presence of the singularity inside the black hole, and the hydrodynamic expansion of the correlator. We illustrate these constraints through concrete examples. We suggest that the product formula for thermal correlators may hold for more general large N chaotic systems, and we check this hypothesis in several models.
影响因子：
5.4
作者：
Mike Blake;R. Davison;S. Grozdanov;Hong Liu
通讯作者：
Mike Blake;R. Davison;S. Grozdanov;Hong Liu