Effective field theory of stochastic diffusion from gravity
Effective field theory of stochastic diffusion from gravity
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DOI：
10.1007/jhep05(2021)130
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发表时间：
2020-12
影响因子：
5.4
通讯作者：
J. K. Ghosh;R. Loganayagam;Siddharth G. Prabhu;Mukund Rangamani;Akhil Sivakumar;V. Vishal
中科院分区：
文献类型：
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作者：
J. K. Ghosh;R. Loganayagam;Siddharth G. Prabhu;Mukund Rangamani;Akhil Sivakumar;V. Vishal
AdS 中的平面黑洞具有长寿命的准正规模式，该模式捕捉了双场论中电荷和动量扩散的物理现象。我们应该如何表征与双场理论的守恒电流耦合的探针系统的有效动力学？具体来说，这样的探测器将如何记录黑洞的长期记忆及其霍金波动？我们通过展示一个通用的规范不变框架来解决这个问题，该框架捕获了全息中随机扩散的物理原理：具有由单个参数（马尔可夫指数）控制的引力耦合的设计标量。我们认为平面史瓦西-AdS 黑洞的规范和引力扰动的物理现象可以通过这样的设计标量有效地捕获。我们证明，这个框架允许人们在二次阶上将长寿命的准正常模式和霍金模式与短寿命的模式解耦。它还提供了一个用于分析具有记忆的涨落开放量子场论的模板。特别是，我们使用此装置来分析平面 Schwarzschild-AdS 黑洞的扩散霍金光子和引力子，并推导出控制双 CFT 波动流体动力学的二次有效作用。在此过程中，我们还得出了与有限温度下超尺度破坏背景探针相关的结果。
Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. How should we characterize the effective dynamics of a probe system coupled to the conserved currents of the dual field theory? Specifically, how would such a probe record the long-lived memory of the black hole and its Hawking fluctuations? We address this question by exhibiting a universal gauge invariant framework which captures the physics of stochastic diffusion in holography: a designer scalar with a gravitational coupling governed by a single parameter, the Markovianity index. We argue that the physics of gauge and gravitational perturbations of a planar Schwarzschild-AdS black hole can be efficiently captured by such designer scalars. We demonstrate that this framework allows one to decouple, at the quadratic order, the long-lived quasinormal and Hawking modes from the short-lived ones. It furthermore provides a template for analyzing fluctuating open quantum field theories with memory. In particular, we use this set-up to analyze the diffusive Hawking photons and gravitons about a planar Schwarzschild-AdS black hole and derive the quadratic effective action that governs fluctuating hydrodynamics of the dual CFT. Along the way we also derive results relevant for probes of hyperscaling violating backgrounds at finite temperature.