论文标题
三维Ashtekar重力的Hamilton-Jacobi特性方程
The Hamilton-Jacobi characteristic equations for three dimensional Ashtekar gravity
论文作者
论文摘要
对根据Ashtekar样变量定义的三维重力的汉密尔顿 - 雅各比分析。我们报告了一项详细的分析，其中发现了汉密尔顿 - 雅各比的完整限制，特征方程式和该理论的规范变换。我们从汉密尔顿 - 雅各比汉密尔顿人的综合性条件中可以发现，该理论被简化为$ bf $ field理论，仅根据自dial（或反自我）变量定义。我们确定了动态变量和物理自由度的计数。此外，我们将我们的结果与使用规范形式主义报告的结果进行了比较。
The Hamilton-Jacobi analysis of three dimensional gravity defined in terms of Ashtekar-like variables is performed. We report a detailed analysis where the complete set of Hamilton-Jacobi constraints, the characteristic equations and the gauge transformations of the theory are found. We find from integrability conditions on the Hamilton-Jacobi Hamiltonians that the theory is reduced to a $BF$ field theory defined only in terms of self-dual (or anti-self-dual) variables; we identify the dynamical variables and the counting of physical degrees of freedom is performed. In addition, we compare our results with those reported by using the canonical formalism.
