标题： 关于渐近平直引力在Ashtekar-Barbero变量中的相空间的注记 显示英文标题

标题： Note on the phase space of asymptotically flat gravity in Ashtekar-Barbero variables

摘要： 我们描述了渐近平坦引力在Ashtekar-Barbero变量中的规范相空间。 我们表明，为了恢复ADM相空间，高斯约束乘子必须比之前考虑的衰减得更慢。 在Ashtekar-Barbero相空间中，无需参考ADM生成元即可导出渐近庞加莱群的生成元。 结果表达式被证明与从ADM生成元获得的表达式一致，除了高斯约束项。 此过程的一个好处是得到了一个关于三重态的多项式形式的渐近旋转生成元，因此更适合量子理论。 我们的处理补充了Thiemann在自对偶变量背景下之前的描述。 显示英文摘要

摘要： We describe the canonical phase space of asymptotically flat gravity in Ashtekar-Barbero variables. We show that the Gauss constraint multiplier must fall off slower than previously considered in order to recover ADM phase space. The generators of the asymptotic Poincare group are derived within the Ashtekar-Barbero phase space without reference to the ADM generators. The resulting expressions are shown to agree, modulo Gauss constraint terms, with those obtained from the ADM generators. A payoff of this procedure is a new expression for the generator of asymptotic rotations which is polynomial in the triad and hence better suited for quantum theory. Our treatment complements earlier description by Thiemann in the context of self-dual variables.