物质、场与重参数化不变系统
Matter, Fields, and Reparametrization-Invariant Systems
摘要：
我们研究了重参数化不变系统，主要是相对论粒子及其D维扩展对象推广--d-膜。相应的物质拉格朗日量自然包含背景相互作用，如电磁和引力。对于一个不改变背景场的d-膜，我们定义了非相对论性方程，假设d-膜的积分子流形嵌入。当存在类引力相互作用时，质量壳约束和Klein-Gordon方程是普适的。我们的方法狄拉克方程遵循伦德的技术代数的$γ$ -矩阵，不依赖于克莱因-戈登方程。
英文摘要：
We study reparametrization-invariant systems, mainly the relativistic particle and its D-dimensional extended object generalization--d-brane. The corresponding matter Lagrangians naturally contain background interactions, like electromagnetism and gravity. For a d-brane that doesn't alter the background fields, we define non-relativistic equations assuming integral sub-manifold embedding of the d-brane. The mass-shell constraint and the Klein-Gordon equation are shown to be universal when gravity-like interaction is present. Our approach to the Dirac equation follows Rund's technique for the algebra of the $γ$-matrices that doesn't rely on the Klein-Gordon equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
