Chaos and coarse-graining in holography: towards a new paradigm for quantum gravity

全息术中的混沌和粗粒度：迈向量子引力的新范式

基本信息

批准号：
EP/X030334/1
负责人：
Felix Haehl
金额：
$ 164.72万
依托单位：
University of Southampton
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2022
资助国家：
英国
起止时间：
2022 至无数据
项目状态：
未结题

来源：
https://gtr.ukri.org/projects?ref=EP%2FX030334%2F1
关键词：
Chaos coarse graining holography towards

项目摘要

A new paradigm is emerging for black holes in quantum gravity. It is inspired by the general framework of gauge/gravity duality ('holography'), which allows for a consistent definition of quantum gravity in terms of dual non-gravitational quantum many-body systems. More concretely, the new paradigm will be rooted in an acceleration of developments in recent years due to: (i) the incorporation of quantum information theoretic concepts and methods into the way we use the holographic duality, and (ii) the discovery of new models of the duality which are unprecedentedly simple to study but nevertheless exhibit the key features of interest in quantum gravity. Armed with these powerful new tools, a consistent theory of quantum black holes is now within reach. Central objectives of my proposal are: (*) Develop a comprehensive and unifying theory of thermalization, dissipation, chaos, and randomness in quantum black holes and their dual many-body systems. (*) Determine the fate of fundamental quantum field theory constraints (unitarity, analyticity, thermality constraints,...) under the duality map and in quantum gravity. (*) Find a detailed model of black hole interiors in terms of degrees of freedom in the dual system. Work packages include investigations of quantum chaos in conformal and in disordered systems, the role of ensemble averages in quantum gravity, and an effective description of fluctuating black holes in the context of hydrodynamics. My methodology is tailored to synergize the unique combination of expertise in gravity, quantum field theory, and non-equilibrium dynamics that I have established: I will use a symmetry-based approach and effective field theory methods to make crucial aspects of the duality manifest in a unifying, general, and computationally efficient fashion. My approach is designed to identify universal aspects of quantum gravity and will thus lead to new insights that are generalizable beyond the context of the duality and even in cosmology.

量子引力中的黑洞的新范式正在出现。它的灵感来自于规范/引力二元性（“全息术”）的一般框架，该框架允许在双非引力量子多体系统方面对量子引力进行一致的定义。更具体地说，新范式将植根于近年来的加速发展，原因是：（i）将量子信息理论概念和方法纳入我们使用全息对偶性的方式中，以及（ii）新模型的发现对偶性的研究前所未有地简单，但仍然表现出量子引力中令人感兴趣的关键特征。有了这些强大的新工具，一致的量子黑洞理论现在已经触手可及。我提案的中心目标是：(*) 发展一种关于量子黑洞及其双多体系统的热化、耗散、混沌和随机性的全面且统一的理论。 (*) 确定对偶图和量子引力下基本量子场论约束（幺正性、解析性、热性约束……）的命运。 (*) 根据对偶系统中的自由度找到黑洞内部的详细模型。工作包包括对共形和无序系统中的量子混沌的研究、系综平均值在量子引力中的作用，以及在流体动力学背景下对波动黑洞的有效描述。我的方法论是为了协同我所建立的引力、量子场论和非平衡动力学方面的专业知识的独特组合而量身定制的：我将使用基于对称性的方法和有效的场论方法来使二元性的关键方面体现在一种统一的、通用的、计算高效的方式。我的方法旨在识别量子引力的普遍方面，从而带来新的见解，这些见解可以超越二元性甚至宇宙学的背景。