关于路径积分约化雅可比行列式的几何表示：约化运动描述中的相关坐标情形
On the geometrical representation of the path integral reduction Jacobian: The case of dependent coordinates in the description of the reduced motion
摘要：
在光滑紧致黎曼流形上的标量粒子运动的路径积分量子化问题中，当局部约化运动用依赖坐标描述时，给出了在紧致半单李群的自由等距作用下，得到的路径积分约化雅可比矩阵的几何表示.其结果是基于原流形的标量曲率公式，原流形被看作是主纤维丛的全空间。
英文摘要：
The geometrical representation of the path integral reduction Jacobian obtained in the problem of the path integral quantization of a scalar particle motion on a smooth compact Riemannian manifold with the given free isometric action of the compact semisimple Lie group has been found for the case when the local reduced motion is described by means of dependent coordinates. The result is based on the scalar curvature formula for the original manifold which is viewed as a total space of the principal fibre bundle.
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