Taming Non-Perturbative Dynamics in High Energy Physics

该奖项资助南卡罗莱纳大学亚历山大·莫宁教授的研究活动。近一个世纪以来，量子场论（QFT）在我们对宇宙基本性质的理解中发挥了关键作用。基于量子傅立叶变换的粒子物理学标准模型是一项了不起的成就。然而，在标准模型中仍有未解决的问题需要进一步调查。QFT的复杂性对回答这些问题提出了挑战。虽然具有少量弱相互作用粒子的系统可以被有效地研究，但受强作用力影响的系统，如质子的成分，或具有大量粒子的系统，对系统描述存在重大障碍。这样的系统被称为“非摄动”，解决这些非摄动系统代表了21世纪理论物理学的最大挑战之一。在这个项目中，莫宁教授将开发新的方法，并改进现有的方法，专门针对这些非摄动系统。通过提高我们对QFT结构的理解，并采用这些方法，我们对粒子物理标准模型中未解决的问题有了更深入的了解。这项研究致力于促进科学在其最基本的方向之一的进步：从理论上理解自然及其规律背后的机制。通过揭开这些谜团，该项目提高了我们的知识水平，为科学发现的整体进步做出了贡献，从而符合国家利益。此外，该项目旨在吸引和参与学生，为他们提供有价值的培训，培养他们成长为成功的研究人员。在技术上，本项目分为三个部分：QFT结构，新方法和技术，和粒子物理。该项目的里程碑包括研究涉及多个量子的过程，增强现有技术，如哈密顿截断和复苏，以解决现实系统，并应用已知方法，如色散关系，研究当前和未来强度前沿实验可获得的现象。通过这些努力，Monin教授试图推进我们对量子傅立子的理论理解，从而能够分析非摄动现象。此外，该研究项目旨在对高能物理以外的领域产生更广泛的影响。更深入地了解QFT的结构将有利于使用QFT的任何领域。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.