| 自对偶引力的局部对称性与约束 |
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| 引用本文： | 马永革,梁灿彬.自对偶引力的局部对称性与约束[J].物理学报,1997,46(10):1873-1879. |
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| 作者姓名： | 马永革 梁灿彬 |
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| 作者单位： | 北京师范大学物理系 |
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| 摘 要： | 在Ashtekar形式下，广义相对论的相空间被嵌入到复SU（2）Yang-Mils理论的相空间里．将一般场论中分析局部对称性与约束的方法推广到复的场论，从自对偶Palatini形式的位形空间构造出Ashtekar形式的相空间，进而讨论了位形空间上的局部对称性与相空间上的约束的关系．
关键词：
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| 关 键 词： | 广义相对论 自对偶引力 局部对称性 约束 |
| 收稿时间： | 1996-11-11 |
LOCAL SYMMETRIES AND CONSTRAINTS IN SELF DUAL GRAVITY |
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| MA YONG-GE and LIANG CAN-BIN.LOCAL SYMMETRIES AND CONSTRAINTS IN SELF DUAL GRAVITY[J].Acta Physica Sinica,1997,46(10):1873-1879. |
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| Authors: | MA YONG-GE and LIANG CAN-BIN |
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| Abstract: | In Ashtekar's formalism, the phase space of general relativity is imbedded into the phase space of complex SU(2) Yang-Mills theory. In this paper, the approach of analyzing local symmetries and constraints in ordinary feild theories is generalized to the complex field theory, the phase space of the Ashtekar formalism is constructed from the configuration space of the self dual Palatini formalism, and the relationship hetween local symmetries of the configuration space and constraints on the phase space is then discussed. |
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