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等效原理与引力的规范理论
引用本文:郝刘祥.等效原理与引力的规范理论[J].自然科学史研究,2011,30(2).
作者姓名:郝刘祥
作者单位:中国科学院,自然科学史研究所,北京,100190
摘    要:通过对原始文献的解读,梳理了引力规范理论80年发展之历史,澄清了关于平移势定义的混乱,指出了引力规范理论与Yang-Mills规范理论之间的联系与区别.在Yang-Mills理论中,规范势是主丛上的Ehresmann联络;而在引力规范理论中,引力势是嘉当几何中的嘉当联络.

关 键 词:引力  等效原理  规范理论  庞加莱群  德西特群  Ehresmann联络  嘉当联络

The Equivalence Principle and Gauge Theories of Gravity
HAO Liuxiang.The Equivalence Principle and Gauge Theories of Gravity[J].Studies In The History of Natural Sciences,2011,30(2).
Authors:HAO Liuxiang
Institution:HAO Liuxiang(Institute for the History of Natural Sciences,CAS,Beijing 100190,China)
Abstract:The three types of gauge theories of gravity(GTGs) based on the equivalence principle are analyzed historically.The confusion about the definition of translational potentials is clarified,and the distinction between YM theories and GTGs is drawn.Specifically,the gauge potential in YM theory is Ehresmann connection on the principle bundles,while the gauge potential in GTGs is Cartan connection in Cartan geometry.
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