Schild's ladder parallel transport procedure for an arbitrary connection

被引：18

作者：

Kheyfets, A

Miller, WA

Newton, GA

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Univ Calif Los Alamos Natl Lab, Div Theoret, Theoret Astrophys Grp T6 MS B288, Los Alamos, NM 87545 USA

[3] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2000年 / 39卷 / 12期

关键词：

Field Theory; Elementary Particle; Quantum Field Theory; Symmetric Part; Parallel Transport;

D O I：

10.1023/A:1026473418439

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the Schild's ladder parallel transport procedure for on arbitrary connection. We demonstrate that the procedure, while it can be performed for any connection. in fact is only capable of detecting the symmetric part of this connection. In geometries with a symmetric connection it fulfills its goal to express connection and parallel transport of any vector in terms of geodesics of such geometries.

引用

页码：2891 / 2898

页数：8