Path integral complexity and Kasner singularities
Path integral complexity and Kasner singularities
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DOI：
10.1007/jhep01(2022)150
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发表时间：
2021-11
影响因子：
5.4
通讯作者：
Paweł Caputa;D. Das;Sumit R. Das
中科院分区：
文献类型：
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作者：
Paweł Caputa;D. Das;Sumit R. Das
利用Hartle-Hawking波函数的对偶描述，我们研究了含时背景场论中路径积分复杂性的性质。特别地，我们考虑了具有含时耦合的边界理论，其对偶于具有含时伸缩子的整体Kasner-Ads度规。我们证明了全息路径积分复杂度随着我们接近奇点而降低，这与早期的全息复杂性猜想的结果一致。此外，我们还发现了复杂性变得普遍的例子，即与Kasner指数无关，但路径积分张量网络的性质敏感地依赖于这些数据。
We explore properties of path integral complexity in field theories on time dependent backgrounds using its dual description in terms of Hartle-Hawking wavefunctions. In particular, we consider boundary theories with time dependent couplings which are dual to Kasner-AdS metrics in the bulk with a time dependent dilaton. We show that holographic path integral complexity decreases as we approach the singularity, consistent with earlier results from holographic complexity conjectures. Furthermore, we find examples where the complexity becomes universal ie, independent of the Kasner exponents, but the properties of the path integral tensor networks depend sensitively on this data.