Plebanski theory and covariant canonical formulation
Plebanski theory and covariant canonical formulation
复制标题
普列班斯基理论和协变正则公式
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Philippe Roche
中科院分区：
文献类型：
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作者：
Sergei Alexandrov;E. Buffenoir;Philippe Roche
我们建立了广义相对论中普莱班斯基作用的哈密顿公式与希尔伯特-帕拉蒂尼作用的协变正则公式之间的等价性。这是通过计算狄拉克括号来比较两种理论的辛结构来实现的。在Plebanski框架中，我们还构造了一个在协变环量化方案中起重要作用的移位连接。讨论了自旋泡沫模型的意义。
We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general relativity and the covariant canonical formulation of the Hilbert–Palatini action. This is done by comparing the symplectic structures of the two theories through the computation of Dirac brackets. We also construct a shifted connection with simplified Dirac brackets, playing an important role in the covariant loop quantization programme, in the Plebanski framework. Implications for spin foam models are also discussed.