标题： 物质、场和重参数化不变系统 显示英文标题

标题： Matter, Fields, and Reparametrization-Invariant Systems

摘要： 我们研究重参数化不变系统，主要是相对论粒子及其D维扩展对象的推广——D膜。 相应的物质拉格朗日量自然包含背景相互作用，如电磁学和引力。 对于不改变背景场的D膜，我们定义非相对论方程，假设D膜的积分子流形嵌入。 当存在类似引力的相互作用时，质量壳约束和克莱因-戈登方程被证明是普遍的。 我们对狄拉克方程的方法遵循Rund关于$\gamma $矩阵代数的技术，该技术不依赖于克莱因-戈登方程。 显示英文摘要

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 $\gamma $-matrices that doesn't rely on the Klein-Gordon equation.