Schild's Ladder Parallel Transport Procedure for an Arbitrary Connection

被引：0
作者：
Arkady Kheyfets
Warner A. Miller
Gregory A. Newton
机构：
[1] North Carolina State University,Department of Mathematics
[2] Los Alamos National Laboratory,Theoretical Astrophysics Group (T
[3] North Carolina State University,6 MS B288), Theoretical Division
来源：
International Journal of Theoretical Physics | 2000年 / 39卷
关键词：
Field Theory; Elementary Particle; Quantum Field Theory; Symmetric Part; Parallel Transport;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We analyze the Schild's ladder parallel transport procedure for an arbitraryconnection. We demonstrate that the procedure, while it can be performed forany connection, in fact is only capable of detecting the symmetric part of thisconnection. In geometries with a symmetric connection it fulfills its goal toexpress connection and parallel transport of any vector in terms of geodesics ofsuch geometries.
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页码：2891 / 2898
页数：7
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