发表机构
Instituto de Física, Benemérita Universidad Autónoma de Puebla（普埃布拉自治优良大学物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文对扩展Hořava引力模型进行Hamilton-Jacobi和Faddeev-Jackiw分析，获得完整哈密顿量、广义括号和规范变换，并验证两种框架括号一致，进而计算量子路径积分测度，讨论不同参数下的差异。
AI 中文摘要
对线性化的、不可投影的$\lambda R$模型进行了Hamilton-Jacobi [HJ]分析和Faddeev-Jackiw [FJ]量子化，该模型由Blas、Pujolàs和Sibiryakov的最低阶项以及涉及Cotton张量平方的高阶项扩展。分析了$\lambda \neq \frac{1}{3}$和$\lambda = \frac{1}{3}$两种情况。在Hamilton-Jacobi框架内，我们获得了理论的完整哈密顿量集合、广义括号、基本微分、特征方程和规范变换。在Faddeev-Jackiw框架中，构造了一个辛张量，从中识别出基本括号。HJ和FJ括号一致，并且从辛张量计算了量子路径积分的测度。讨论了$\lambda \neq \frac{1}{3}$和$\lambda = \frac{1}{3}$两种情况在量子路径积分中的差异。
英文摘要
The Hamilton-Jacobi [HJ] analysis and the Faddeev-Jackiw [FJ] quantization for the linearized, non-projectable $λR$ model, extended by the lowest-order term of Blas, Pujolàs, and Sibiryakov and the higher-order term involving the square of the Cotton tensor, were carried out. The cases $λ\neq \frac{1}{3}$ and $λ= \frac{1}{3}$ are analyzed. Within the Hamilton-Jacobi framework, we obtain the complete set of Hamiltonians, generalized brackets, fundamental differential, characteristic equations, and gauge transformations of the theory. In the Faddeev-Jackiw framework, a symplectic tensor is constructed from which the fundamental brackets are identified. The HJ and FJ brackets coincide, and from the symplectic tensor, the measure for the quantum path integral is calculated. The differences between the cases $λ\neq \frac{1}{3}$ and $λ= \frac{1}{3}$ at the quantum path integral are discussed.
