有边界引力理论几何约束表述的三条道路
Three roads to the geometric constraint formulation of gravitational theories with boundaries
摘要：
由奇异拉格朗日函数定义的力学或场模型的哈密顿描述在物理学中起着核心作用。许多方法是已知的，为这一目的，其中最流行的是一个由狄拉克。在这里，我们讨论这个问题的其他方法，依赖于直接使用的运动方程（和相切的要求特性的Gotay，Nester，Hinds方法），或制定在切丛的配置空间。由于它与广义相对论的有趣关系，我们将使用一个具体的例子作为测试床：庞特里亚金和侯赛因-库恰西作用推广到四维流形的边界。
英文摘要：
The Hamiltonian description of mechanical or field models defined by singular Lagrangians plays a central role in physics. A number of methods are known for this purpose, the most popular of them being the one developed by Dirac. Here, we discuss other approaches to this problem that rely on the direct use of the equations of motion (and the tangency requirements characteristic of the Gotay, Nester, Hinds method), or are formulated in the tangent bundle of the configuration space. Owing to its interesting relation with general relativity we will use a concrete example as a test bed: an extension of the Pontryagin and Husain-Kuchař actions to four dimensional manifolds with boundary.
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。
