标题： Ashtekar引力的现实条件来自洛伦兹协变形式 显示英文标题

标题： Reality conditions for Ashtekar gravity from Lorentz-covariant formulation

摘要： 我们展示了对于Immirzi参数$\beta=i$所考虑的洛伦兹协变规范形式与自对偶Ashtekar引力的等价性。 我们还提出从协变形式导出的狄拉克括号来处理现实条件，并在涉及自对偶变量及其反自对偶对应物的扩展相空间上定义这些条件。 显示英文摘要

摘要： We show the equivalence of the Lorentz-covariant canonical formulation considered for the Immirzi parameter $\beta=i$ to the selfdual Ashtekar gravity. We also propose to deal with the reality conditions in terms of Dirac brackets derived from the covariant formulation and defined on an extended phase space which involves, besides the selfdual variables, also their anti-selfdual counterparts.