论文标题
从可观察到2：基本观测值的代数方面的引力
Gravitation in terms of observables 2: the algebra of fundamental observables
论文作者
论文摘要
在上一篇论文中，我们展示了如何使用循环的技术来制定曼德尔斯坦在1960年代提出的重力的循环方法。这些技术可以克服早期治疗中遇到的一些困难。在这种方法中，重力完全是根据无限制的狄拉克可观察物来表达的，为量化打开了有吸引力的新可能性。在本文中，我们讨论了所得的狄拉克可观察物的泊松代数，该代数与riemann张量的固有成分有关。这提供了几位作者猜想的重力的非本地代数的明确实现。
In a previous paper, we showed how to use the techniques of the group of loops to formulate the loop approach to gravity proposed by Mandelstam in the 1960's. Those techniques allow to overcome some of the difficulties that had been encountered in the earlier treatment. In this approach, gravity is formulated entirely in terms of Dirac observables without constraints, opening attractive new possibilities for quantization. In this paper we discuss the Poisson algebra of the resulting Dirac observables, associated with the intrinsic components of the Riemann tensor. This provides an explicit realization of the non-local algebra of observables for gravity that several authors have conjectured.
