Taming Non-Perturbative Dynamics in High Energy Physics

驾驭高能物理中的非微扰动力学

• 批准号: 2310243
• 负责人: Alexander Monin
• 金额: $ 22.5万
• 依托单位: University of South Carolina at Columbia
• 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: 2023-08-15 至 2026-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2310243&HistoricalAwards=false
• 关键词: Taming; Non; Perturbative; Dynamics; Energy

This award funds the research activities of Professor Alexander Monin at the University of South Carolina.Quantum Field Theory (QFT) has played a pivotal role in our understanding of the fundamental nature of the universe for nearly a century. The Standard Model of particle physics, which is based on QFT, has been a remarkable achievement. However, there are still unresolved questions within the Standard Model that require further investigation. The complexity of QFT poses a challenge in answering these questions. While systems with a small number of weakly interacting particles can be effectively studied, systems influenced by strong forces, such as the constituents of a proton, or systems with large numbers of particles, present significant obstacles to systematic description. Such systems are called "non-perturbative", and addressing these non-perturbative systems represents one of the biggest challenges in 21st-century theoretical physics. In this project, Professor Monin will develop new methods and improve existing methods that are specifically tailored to addressing these non-perturbative systems. By advancing our understanding of the structure of QFT and employing these methods, insight is gained into the unanswered questions within the Standard Model of particle physics. This research endeavors to promote the progress of science in one of its most fundamental directions: the theoretical understanding of nature and the mechanisms underlying its laws. By shedding light on these mysteries, this project serves the national interest by advancing our knowledge and contributing to the overall progress of scientific discovery. Furthermore, this project aims to attract and involve students, providing them with valuable training and fostering their growth as successful researchers. More technically, this project is divided into three parts: QFT Structure, New Methods and Techniques, and Particle Physics. The milestones of this project include studying processes involving multiple quanta, enhancing existing techniques like Hamiltonian truncation and resurgence to address realistic systems, and applying known methods such as dispersion relations to study phenomena accessible by current and future Intensity Frontier experiments. Through these efforts, Professor Monin seeks to advance our theoretical understanding of QFT, thereby enabling the analysis of non-perturbative phenomena. Additionally, this research project is designed to have a broader impact beyond high-energy physics. A deeper understanding of the structure of QFT will benefit any field utilizing QFT.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.

该奖项为南卡罗来纳大学亚历山大·蒙宁教授的研究活动提供了资金。Quantum Field Theory（QFT）在我们对宇宙基本本质的理解中发挥了关键作用。基于QFT的粒子物理学的标准模型是一个非凡的成就。但是，标准模型中仍未解决的问题需要进一步研究。 QFT的复杂性在回答这些问题时构成了挑战。虽然可以有效地研究具有少量弱相互作用粒子的系统，但受强力影响的系统，例如质子的成分或具有大量颗粒的系统，对系统描述呈现了重要的障碍。这样的系统称为“非扰动”，解决这些非扰动系统是21世纪理论物理学中最大的挑战之一。在这个项目中，蒙宁教授将开发新的方法并改进专门针对这些非扰动系统的专门定制的现有方法。通过促进我们对QFT结构并采用这些方法的理解，在粒子物理学的标准模型中获得了洞察力。这项研究努力促进科学在其最基本的方向之一上促进科学的进步：对自然的理论理解以及其定律的基础机制。通过阐明这些谜团，该项目通过促进我们的知识并促进科学发现的整体进步来促进国家利益。 此外，该项目旨在吸引和参与学生，为他们提供宝贵的培训并促进他们作为成功的研究人员的成长。从技术上讲，该项目分为三个部分：QFT结构，新方法和技术以及粒子物理学。该项目的里程碑包括研究涉及多个量子的过程，增强了诸如哈密顿截断和复兴之类的现有技术，以解决现实的系统，以及应用已知的方法（例如分散关系）来研究通过当前和未来的强度临时实验可访问的现象。通过这些努力，蒙宁教授试图提高我们对QFT的理论理解，从而实现了非扰动现象的分析。此外，该研究项目旨在超出高能物理学的更大影响。对QFT结构的更深入的了解将使任何利用QFT的领域受益。该奖项反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的影响审查标准，被认为值得通过评估来获得支持。