论文标题
哈密顿的“卡罗尔”重力形式
Hamiltonian form of `Carroll' gravity
论文作者
论文摘要
我们在一阶形式主义中开发了对重力理论的“卡罗尔”（levy leblond-sen gupta）的描述。通过约束分析，在这个单一的极限中，局部自由度的数量被证明是两个。相关的哈密顿约束仅取决于密度的三合会及其空间衍生物。我们还提供了希尔伯特 - 帕拉蒂尼理论中的缩放处方，以获得规范度量重力的“电动”极限的一阶类似物。这两种限制的汉密尔顿形式在这些变量中的简单性使它们成为量化的有趣候选者。
We develop a Hamiltonian description of the `Carroll' (Levy Leblond-Sen Gupta) limit of gravity theory in the first-order formalism. Through a constraint analysis, the number of local degrees of freedom are shown to be two in this singular limit. The associated Hamiltonian constraint depends only on the densitized triad fields and their space derivatives. We also provide a scaling prescription within the Hilbert-Palatini theory to obtain the first-order analogue of the `electric' limit of canonical metric gravity. The simplicity of both these limiting Hamiltonian forms in these variables make them interesting candidates for quantization.
