Relativistic Fields with Point Defects

具有点缺陷的相对论场

• 批准号: 0406951
• 负责人: Michael Kiessling
• 金额: $ 18.6万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-01 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0406951&HistoricalAwards=false
• 关键词: Relativistic; Fields; Point; Defects

This project is divided into a classical and a quantum physical part. The classical part is concerned with the rigorous analysis of the classical limit of a new dynamical theory of relativistic electromagnetic fields with topological point defects that represent point electrons. This theory combines the nonlinear Maxwell-Born-Infeld field equations with a novel Hamilton-Jacobi type law of motion for the point defects. The most important issue here is the special relativistic radiation reaction problem, which can now be investigated without any a priori regularization or renormalization. The principal investigator will also develop a general relativistic extension of this theory, which promises progress on the problem of motion of so-called naked singularities of space-time and the gravitational field. The theory has already been partly quantized; the quantum part of the project now is concerned with the completion of the quantization. In particular, the implementation of the physically important quantum effects of spin and photon are the primary goals. So far the theory is free of any of the notorious divergence problems that plague the prevailing electromagnetic theory (QED), and it is expected that the final theory will also be entirely well-behaved. Electromagnetism is the most widely applicable part of fundamental physical theory. It touches everything from atomic physics, chemistry, and condensed matter physics to electronics and electrical engineering. The orthodox theory has certainly been hugely successful, yet it has also been plagued by infinities that have stood in the way of further progress on a number of issues. The research in this project involves a new formalism which is designed to overcome the problems of the orthodox electromagnetic theory and which has already overcome some of these. As a result of the new mathematically well-defined formalism under development, better quantitative, rigorous, computational simulation of electromagnetic phenomena may be expected. The classical version of the theory covers, for instance, the physics of high temperature plasma, with applications to space and laboratory (thermonuclear fusion) phenomena. A promising application of the new quantum theory is to positronium physics, which in particular may have medical applications in positron emission tomography.

该项目分为一个经典和量子物理部分。 经典部分与对相对论电磁场的新动力学理论的经典限制有关，其拓扑点缺陷代表点电子。 该理论将非线性的麦克斯韦出生的污染场方程与汉密尔顿 - 雅各比的新型运动定律相结合。 这里最重要的问题是特殊的相对论辐射反应问题，现在可以对此进行研究，而无需任何先验的正则化或重新归一化。 首席研究者还将开发该理论的一般相对论扩展，该理论有望在所谓的时空和重力领域的运动问题上进展。 该理论已经部分量化了。现在，项目的量子部分与量化的完成有关。 特别是，自旋和光子的物理上重要量子效应的实现是主要目标。 到目前为止，该理论没有困扰现行电磁理论（QED）的任何臭名昭著的差异问题，并且可以预期最终理论也将完全表现得很好。 电磁主义是基本物理理论中最广泛适用的部分。 它触及了从原子物理，化学和凝结物理学到电子和电气工程的所有内容。 正统的理论当然已经取得了巨大的成功，但它也受到了在许多问题上进一步进步的无限态度的困扰。 该项目的研究涉及一种新的形式主义，旨在克服正统电磁理论的问题，并且已经克服了其中一些。 由于正在开发的新数学定义明确的形式主义，因此可以预期对电磁现象进行更好的定量，严格，计算模拟。 该理论的经典版本涵盖了高温等离子体的物理学，并应用于空间和实验室（热核融合）现象。 新量子理论的一个有希望的应用是正电子物理学，特别是在正电子发射断层扫描中具有医疗应用。