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；量子场论中***一般态的晚时间行为。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，我对构建弦理论中的暴胀模型，以及理解宇宙的起源有着长期的兴趣。在这种观点下，我对最近发现原始引力波的实验公告感到特别兴奋。为了在这些基本问题中取得进展，必须把它们放在一起考虑：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，将这些看似不同的理论物理子领域的直觉和先前的研究结合起来，将会带来进一步的突破。它很自然地将项目分为三个***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，我打算继续开发***全息量子淬灭项目，我在*** *过去3年一直积极参与其中。一个主要的工作是设计新的数值代码，能够在没有均匀性和各向同性假设的情况下解决淬火系统的动力学问题。我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局部和非局部探测。我计划***在真实的（受限的）全息规/弦对应的***模型中执行“碰撞”模拟。研究结果应该引起参与重离子重离子对撞机和大型强子对撞机实验项目的研究人员的兴趣。******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***与强耦合系统中的状态约束有关，尽管相互作用，但无法平衡和热化。我希望我的***研究能够帮助人们更好地理解最近霍金关于黑洞信息悖论中湍流作用的建议。******3)弦理论中的宇宙膨胀和起源我打算***完善我过去***研究的弦理论中的膨胀模型。这样做的动机是希望，由于原始引力波的潜在发现表明了高尺度的***暴胀，***BICEP 2数据中可能隐藏着字符串暴胀的特征

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.**