论文标题
Minkowski空间中相对论点粒子的路径积分
Path integral of the relativistic point particle in Minkowski space
论文作者
论文摘要
在本文中，我们分析了自由相对论粒子作用所涉及的基本全球和局部对称性。此外，我们确定了一个隐藏的局部对称性，其使用藤川处方的明确考虑和分解，导致构建相对论传播器，以满足Chapman-Kolmogorov身份。通过详细的拓扑分析，我们发现了三个不同的相对论繁殖者（正面，类似于空间和Feynman），它们是从Minkowski空间中不同部门的路径的独家集成获得的。最后，探索了这种方法与Feynman棋盘构建的连接。
In this article, we analyze the fundamental global and local symmetries involved in the action for the free relativistic point particle. Moreover, we identify a hidden local symmetry, whose explicit consideration and factorization utilizing of a Fujikawa prescription, leads to the construction of relativistic propagators that satisfy the Chapman-Kolmogorov identity. By means of a detailed topological analysis, we find three different relativistic propagators (orthochronous, space-like, and Feynman) which are obtained from the exclusive integration of paths within different sectors in Minkowski space. Finally, the connection of this approach to the Feynman checkerboard construction is explored.
