Dynamical Phenomena in Quantum Field Theory and String Theory

拟议研究的重点是理解强耦合规范理论和 * 引力中广泛的 * 动力学现象。一个规范理论方面，我感兴趣的问题 * 准备非平衡态;量子猝灭和 * 随后热化;熵生产的动态演化;* 本地和非本地探针热化;后期-时间行为的 * 一般国家在量子场论。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;湍流在视界形成中起作用吗？此外，我有一个长期的兴趣，在弦论中构建暴胀模型，并了解宇宙的起源。在这个观点中，我对最近宣布的探测原始引力波的实验感到特别兴奋。* 为了在这些基本问题中取得进展，必须将它们放在一起考虑：Maldacena的全息对应提供了量子场论和引力问题之间的映射。我相信，将直觉和以前在这些看似不同的理论物理子领域的研究结合起来，将导致进一步的突破。 很自然地将该项目分为三个子主题：*1）从热力学到流体力学到非平衡规范理论等离子体。 在这里，我打算继续发展全息量子猝灭的计划，我在过去的3年里一直积极参与其中。一个主要的努力是设计新的数值 * 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。本文希望阐明远离平衡态熵的定义，详细描述非平衡态动力学的各种定域和非定域探索。我计划 * 在全息规范/弦对应的现实（限制）* 模型中模拟“碰撞”。这些结果应该会引起RHIC和LHC实验重离子计划研究人员的兴趣。2)引力坍缩、视界形成和湍流。 在这里，我 * 继续推进我在 * 渐近AdS中的引力坍缩程序。 我希望回答的主要基本问题 * 涉及到强耦合系统中状态的约束，尽管有相互作用，但这些系统无法平衡和热化。我希望我的研究将有助于更好地理解霍金最近提出的关于湍流在黑洞信息悖论中的作用的建议。3)弦论中的暴胀和宇宙起源我打算改进我过去研究的弦论中的暴胀模型。 这样做的动机是希望，由于原始引力波的潜在发现表明了 * 暴胀的高尺度，在 *BICEP 2数据中可能隐藏着弦暴胀的签名。

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 Quantum Field Theories. 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 long--standing interest in***constructing inflationary models in String Theory, and understanding***the origin of the Universe. In this view, I was particularly excited***by recent experiment announcement for the detection of the primordial***gravitational waves. ***To make progress in any of these fundamental problems, they must be considered***together: holographic correspondence of Maldacena provides a mapping***between Quantum Field Theory and Gravitational problems. I believe***that combining the intuition and previous research in these seemingly***different sub-fields of theoretical physics would lead to further***breakthroughs. It it natural to separate the project into three***sub-themes:***1) From Thermodynamics to Hydrodynamics to Non--equilibrium Gauge***Theory Plasma. Here I intend to continue development of program of***holographic quantum quenches I have been actively involved with in the***last 3 years. 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 holographic gauge/string correspondence. The results should***be of interest to researchers involved in experimental heavy -ion***programs at RHIC and LHC.******2) Gravitational Collapse, Horizon Formation and Turbulence. Here, I***continue to further my program of gravitational collapse in***asymptotically AdS. The main fundamental question I hope to answer***relates to constraints on states in strongly coupled systems that,***despite interactions, fail to equilibrate and thermalize. I hope my***research would help better understand recent Hawking suggestion***concerning the role of turbulence in Black Hole information paradox.******3) Inflation and Origin of the Universe in String Theory I intend to***refine the models of Inflation in String Theory that I worked on in***the past. The motivation for this is the hope that as the potential***discovery of primordial gravitation waves suggests the high scale of***inflation, there might be signatures of String Inflation hidden in***BICEP 2 data.**