具有紧维的五维Proca理论的Hamilton动力学
Hamiltonian Dynamics for Proca's theories in five dimensions with a compact dimension
摘要：
对Proca的五维理论进行了正则分析，给出了一个紧维.从Proca五维作用量出发，对S^1/\mathbf{Z_2}轨道进行了紧化处理，并分析了紧化处理所产生的四维有效作用量.我们报告的扩展作用量，扩展的哈密顿量和计数的自由度的理论。我们证明了紧维数下的理论继续缺乏第一类约束。事实上，最后一个理论不是规范理论，它描述了一个有质量的矢量场加上一个有质量的KK激发塔和一个有质量的标量场的传播。最后，我们进行了分析的5D BF型理论加上Proca的条款，我们进行了紧化过程，我们找到了所有的理论的约束，我们还进行了物理自由度的计数，这些结果，我们得出结论，该理论是不是拓扑和约束之间的约化条件。
英文摘要：
The canonical analysis of Proca's theory in five dimensions with a compact dimension is performed. From the Proca five dimensional action, we perform the compactification process on a S^1/\mathbf{Z_2} orbifold, then, we analyze the four dimensional effective action that emerges from the compactification process. We report the extended action, the extended Hamiltonian and the counting of degrees of freedom of the theory. We show that the theory with the compact dimension continues laking of first class constraints. In fact, the final theory is not a gauge theory and describes the propagation of a massive vector field plus a tower of massive KK-excitations and one massive scalar field. Finally, we perform the analysis of a 5D BF-like theory plus a Proca's term, we perform the compactification process and we find all constraints of the theory, we also carry out the counting of physical degrees of freedom; with these results, we conclude that the theory is not topological and has reducibility conditions among the constraints.
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