Gauge transformation in Einstein–Yang–Mills theories
Gauge transformation in Einstein–Yang–Mills theories
复制标题
爱因斯坦-杨-米尔斯理论中的规范变换
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
L. C. Shepley
中科院分区：
文献类型：
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作者：
J. M. Pons;D. Salisbury;L. C. Shepley
本文讨论了杨-米尔斯型理论与爱因斯坦广义相对论耦合时的时空超态射与规范变换之间的关系。我们表明，这些一般协变规范系统的哈密顿和拉格朗日形式主义的局部对称性是等价的规范变换时，需要诱导的勒让德映射下投影的变换。虽然纯杨-米尔斯规范变换本身是可投射的，但超同态不是。相反，可投射对称群产生于无穷小的诱导同态的变换，它必须依赖于时空度规的流逝函数和位移向量加上相关的规范变换。我们的结果是我们自己和Salisbury和Sundermeyer早期结果的推广。
We discuss the relation between space–time diffeomorphisms and gauge transformations in theories of the Yang–Mills type coupled with Einstein’s general relativity. We show that local symmetries of the Hamiltonian and Lagrangian formalisms of these generally covariant gauge systems are equivalent when gauge transformations are required to induce transformations which are projectable under the Legendre map. Although pure Yang–Mills gauge transformations are projectable by themselves, diffeomorphisms are not. Instead, the projectable symmetry group arises from infinitesimal diffeomorphism-inducing transformations which must depend on the lapse function and shift vector of the space–time metric plus associated gauge transformations. Our results are generalizations of earlier results by ourselves and by Salisbury and Sundermeyer.