论文标题
$ n $ dimensions $ bf $ gravity的规范分析
Canonical analysis of $BF$ gravity in $n$ dimensions
论文作者
论文摘要
在本文中，我们以明显的$ so（n-1,1）$ [或，$ so（n）$]协变时尚的形式执行，这是$ n $尺寸的一般相对性的规范分析，以约束的$ bf $理论编写。由于该理论的拉格朗日动作可以以两种经典等效的方式编写，因此我们分别分析每个情况。我们表明，对于任何一种动作，可以在整个过程中引入二等限制的情况下完成规范分析。此外，在每种情况下，由此产生的哈密顿配方与规范配方相同，仅在M. Montesinos，R。Escobedo，J。Romero和M. Celada，Phys，最近获得的一流约束。 Rev. D 101，024042（2020）来自$ n $ dimensional Palatini Action。
In this paper we perform in a manifestly $SO(n-1,1)$ [or, alternatively $SO(n)$] covariant fashion, the canonical analysis of general relativity in $n$ dimensions written as a constrained $BF$ theory. Since the Lagrangian action of the theory can be written in two classically equivalent ways, we analyze each case separately. We show that for either action the canonical analysis can be accomplished without introducing second-class constraints during the whole process. Furthermore, in each case the resulting Hamiltonian formulation is the same as the canonical formulation with only first-class constraints recently obtained in M. Montesinos, R. Escobedo, J. Romero, and M. Celada, Phys. Rev. D 101, 024042 (2020) from the $n$-dimensional Palatini action.
