Dynamical Phenomena in Quantum Field Theory and String Theory

拟议的研究的重点是理解广泛的一类 强耦合规范理论中的动力学现象 地心引力。在规范理论方面，我感兴趣的问题是 非平衡态的制备；量子猝灭和 随后的热化作用；动力学演化中的熵产生； 热化的本地和非本地探测器； 量子场论中的一般态。在重力方面，我是 对引力崩塌感兴趣，特别是条件 在其下形成视界；湍流起作用吗？ 在地平线编队中？此外，我对以下方面长期感兴趣 弦理论中通货膨胀模型的构建与理解 宇宙的起源。在这种情况下，我特别兴奋。 根据最近公布的检测原始物的实验公告 引力波。 要想在这些根本问题上取得进展，就必须考虑这些问题 一起：马尔达塞纳的全息通信提供了一幅地图 在量子场论和引力问题之间。我相信 将直觉和之前的研究结合在一起 理论物理的不同子领域将导致进一步 突破性进展。把这个项目分成三部分是很自然的 副主题： 1)从热力学到流体力学再到非平衡规 理论上是等离子。在这里我打算继续发展的计划 我一直积极参与的全息量子猝灭 最近三年。一项主要的努力与设计新的数值计算有关 能够解决淬火系统动力学问题的代码 没有同质性和各向同性假设。我希望能给大家带来一些启示 远离平衡的熵的定义，详细描述 各种非平衡动力学的局域和非局域探针。我计划 在真实感(限制)中执行碰撞模拟的步骤 全息规范/弦对应的模型。结果应该是 引起参与实验重离子研究的研究人员的兴趣 RHIC和LHC的项目。 2)引力塌陷、视界形成和湍流。在这里，我 继续推进我的引力崩塌计划 渐进式的广告。我希望回答的主要基本问题是 涉及对强耦合系统中的状态的约束， 尽管有相互作用，但无法平衡和热化。我希望我的 研究将有助于更好地理解最近霍金的建议 关于湍流在黑洞信息悖论中的作用。 3)弦理论中的宇宙暴胀与起源我打算 完善弦理论中的通货膨胀模型，我在 过去的事。这样做的动机是希望作为潜在的 原始引力波的发现表明 通货膨胀，可能有串通货膨胀的迹象隐藏在 二头肌数据。

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 sub­fields of theoretical physics would lead to further breakthroughs. It it natural to separate the project into three sub­themes: 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.