Non-Perturbative Methods in Field Theory and Many-Body Physics

场论和多体物理中的非微扰方法

• 批准号: 2310283
• 负责人: Zohar Komargodski
• 金额: $ 10.5万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-08-01 至 2026-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2310283&HistoricalAwards=false
• 关键词: Non; Perturbative; Methods; Field; Theory

This award funds the research activities of Professor Zohar Komargodski at the Simons Center for Geometry and Physics at SUNY Stony Brook.The elementary building blocks of nature are quite simple. These could be single atoms, or single elementary particles. Emergent phenomena are phenomena that arise from the interactions of many such simple components. However, the most interesting emergent phenomena cannot be easily explained by the properties of those elementary components alone. It is therefore important to develop new methodologies which can bridge the conceptual gap between the properties of the elementary building blocks in nature and the resulting marvelous emergent phenomena. Such new methodologies will influence several areas in modern physics, including systems in condensed matter physics and also systems of elementary particles. In addition, there are interesting connections with advances in pure mathematics. As part of his research, Professor Komargodski will involve graduate students and postdocs and thereby provide critical training for junior physicists beginning research in this field. Professor Komargodski will also give public lectures on his research results and develop new course curricula based on his research results. More technically, Professor Komargodski aims to study the phases of strongly interacting quantum systems using novel methods ranging from topology to the irreversibility of the renormalization group. A particularly interesting problem is that of the ground state of strongly interacting systems with defects (impurities) and boundaries. Recent advances in the understanding of symmetries and the notion of zero-temperature entropy of defects and boundaries allow us to make progress on old and new problems in the field and open the way to various questions that will be explored. Such new theoretical tools are proving indispensable across several fields of physics that are grappling with the problem of strong interactions.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项为SUNY Stony Brook的Simons几何与物理中心Zohar Komargodski教授提供了研究活动。 这些可能是单个原子，也可以是单个基本粒子。 新兴现象是许多此类简单组成部分的相互作用引起的现象。 但是，最有趣的新兴现象不能仅靠这些基本组成部分的特性来轻易解释。 因此，重要的是开发新的方法论，这些方法可以弥合自然界基本构件的性质与由此产生的奇妙新兴现象之间的概念差距。这种新方法将影响现代物理学的几个领域，包括凝结物理学的系统以及基本颗粒系统。此外，与纯数学的进步有有趣的联系。 作为他的研究的一部分，Komargodski教授将涉及研究生和博士后，从而为初级物理学家提供重要的培训。 Komargodski教授还将根据他的研究结果开发新课程的公开讲座。从技术上讲，Komargodski教授的目标是使用从拓扑到重新归一化组的不可逆性等新方法来研究强烈相互作用的量子系统的阶段。一个特别有趣的问题是具有缺陷（杂质）和边界的强烈相互作用系统的基态。对对称性的理解以及缺陷和边界的零温度熵的概念的最新进展使我们能够在该领域的新旧问题上取得进步，并为将要探索的各种问题开辟了道路。这种新的理论工具证明，在遇到强烈互动问题的几个物理学领域中，必不可少。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛影响的评估评估标准的评估值得支持的。