Dynamical Phenomena in Quantum Field Theory and String Theory

提出的研究重点是理解强耦合规范理论和重力中的一类广泛的动力学现象。在规范理论方面，我对非平衡态的准备问题感兴趣；量子猝灭和随后的热化；动态演化中的熵产生；局部和非局部热化探针；静态和动态时空背景下qft中一般态的晚时行为。在引力方面，我对引力坍缩感兴趣，特别是事件视界形成的条件；湍流在地平线的形成中起作用吗？此外，我对弦理论中的德西特真空和膨胀模型的构建以及对宇宙起源的理解有着长期的兴趣。我的研究主题很自然地符合规范/重力对应的全息框架：它们可以一起研究。从热力学到流体力学再到非平衡规范理论等离子体。我打算继续发展我的全息量子猝灭计划。一个主要的努力是有关设计新的数值代码，将能够解决淬火系统的动力学没有均匀性和各向同性的假设。我希望阐明远离平衡的熵的定义，详细描述非平衡动力学的各种局部和非局部探测。我计划在现实的（限制的）自上而下的全息刻度/弦对应模型中执行“碰撞”模拟。这些结果应该会引起参与重离子对撞机和大型强子对撞机实验重离子项目的研究人员的兴趣。我将继续探索强耦合规范理论动力学在各种背景下的普遍方面（外部磁场，动态时空）。我将继续探索形式流体力学作为一种有效的场论，重点是其导数展开的渐近性质。弦理论中的膨胀和宇宙起源。天体物理学证据表明，我们生活在渐近的德西特时空中。量子德西特真空在弦理论中提出了一个根本性的挑战，它们的存在是一个重新引起人们兴趣的主题（沼泽地计划）。有些令人惊讶的是，即使是在经典德西特时空中强相互作用的非共形规范理论的一个被认为更简单的动力学问题，也很难被理解。我将继续探索德西特在弦论和全息术中的这两个方面。具体来说，我将继续研究弦理论中德西特真空的直接和间接约束。经典流体力学不适用于描述经典德西特时空中非共形量子傅立叶变换态的晚时动力学。我将继续我正在进行的开发德西特时空中量子傅立叶变换动力学的有效理论的计划，特别关注其“真空状态”的纠缠熵问题。

The focus of proposed research is understanding a broad class of dynamical phenomena in strongly coupled gauge theories and gravity. One the gauge theory side, I am interested in questions of preparations of non--equilibrium states; quantum quenches and subsequent thermalization; entropy production in dynamical evolution; local and non--local probes of thermalization; late--time behaviour of generic states in QFTs in static and dynamical space--time backgrounds. On the gravity side I am interested in gravitational collapse, specifically the conditions under which the event horizon is formed; does turbulence play a role in horizon formation? Additionally, I have a longstanding interest in constructing de Sitter vacua and inflationary models in String Theory, and understanding the origin of the Universe. The themes of my research naturally fit into the holographic framework of gauge/gravity correspondence: they can be studied together. From Thermodynamics to Hydrodynamics to Non-equilibrium Gauge Theory Plasma. I intend to continue development of my program on holographic quantum quenches. A major effort is related to designing novel numerical codes that would be able to address the dynamics of quenching systems without homogeneity and isotropy assumptions. I hope to shed light on definition of entropy far--from--equilibrium, describe in details various local and non--local probes of non--equilibrium dynamics. I plan to perform simulations of "collisions'' in realistic (confining) models of top--down holographic gauge/string correspondence. The results should be of interest to researchers involved in experimental heavy- ion programs at RHIC and LHC. I will continue exploring the universal aspects of strongly coupled gauge theory dynamics in various backgrounds (external magnetic fields, dynamical space--time). I will continue exploration of formal hydrodynamics as an effective field theory, focusing on asymptotic properties of its derivative expansion. Inflation and Origin of the Universe in String Theory. Astrophysical evidence suggests that we live in asymptotically de Sitter space-time. Quantum de Sitter vacua present a fundamental challenge in String Theory and their very existence is a subject of renewed interest (the Swampland program). Somewhat surprisingly, even a supposedly simpler problem of dynamics of strongly interacting non-conformal gauge theories in classical de Sitter space-time is poorly understood. I will continue to explore these two aspects of de Sitter in String Theory and holography. Specifically, I will continue investigation of direct and indirect constraints on de Sitter vacua in String Theory. Canonical hydrodynamics is not applicable in describing late-time dynamics of non-conformal QFT states in classical de Sitter space-time I will continue my ongoing program of developing an effective theory of QFT dynamics in de Sitter, in particular focusing on the question of the entanglement entropy of its 'vacuum state'.