Numerical simulations of lattice field theory

晶格场论的数值模拟

基本信息

批准号：
2902259
负责人：
金额：
--
依托单位：
Plymouth University
依托单位国家：
英国
项目类别：
Studentship
财政年份：
2024
资助国家：
英国
起止时间：
2024 至无数据
项目状态：
未结题

来源：
https://gtr.ukri.org/projects?ref=studentship-2902259
关键词：
Numerical simulations lattice field theory

项目摘要

The Standard Model of particle physics has provided exceptionally precise predictions over nearly 50 years of experimental and theoretical efforts, culminated with the detection of a particle with the properties of the Higgs boson in 2012. Despite its outstanding successes, it is unlikely to be the final description of fundamental physics. Observed phenomena like gravity, the nature of Dark Matter and the naturalness and strong-CP problems are currently outside of the scope of the Standard Model. Providing compelling explanations for these phenomena is thus amongst the most important open problems in contemporary physics. Whether these explanations can be found in the framework of Quantum Field Theory can only be answered by further experimental and theoretical investigation. Many of the proposed theoretical solutions to the problems above postulate the existence of new, currently undetected, strongly coupled degrees of freedom described by asymptotically free gauge theories. Exploring their non-perturbative regime is thus relevant to many different scenarios of the Physics lying Beyond the Standard Model. In this project we will explore such regime in different gauge theories using methods Lattice Field Theory. Obtaining the values of the appropriate physical quantities will require large scale Monte Carlo simulations and the related data analysis, that will involve probing new numerical approaches based on AI and machine learning.

粒子物理学的标准模型在近50年的实验和理论努力中提供了非常精确的预测，最终在2012年具有Higgs Boson的特性的粒子，尽管取得了良好的成功，但它不太可能成为基本物理学的最终描述。观察到的现象等现象，例如重力，暗物质的性质以及自然性和强CP问题，目前超出了标准模型的范围。因此，为这些现象提供令人信服的解释是当代物理学中最重要的开放问题之一。这些解释是否可以在量子场理论的框架中找到，只能通过进一步的实验和理论研究来回答。许多提出的关于上述问题的理论解决方案假定了新的，目前未被发现，强烈耦合的自由度的存在，由渐近自由仪表理论描述。因此，探索他们的非扰动制度与超出标准模型的物理学的许多不同情况有关。在这个项目中，我们将使用方法晶格场理论在不同规格理论中探索这种制度。获得适当的物理量的值将需要大规模的蒙特卡洛模拟和相关的数据分析，这将涉及基于AI和机器学习的新数值方法。