论文标题
关于重力的规范形式主义的注释
A Note On The Canonical Formalism for Gravity
论文作者
论文摘要
我们描述了一个简单的量规固定，从而在渐近抗De Sitter时空中构造了量子Hilbert空间，以实现量子重力，这对于所有扰动理论的所有顺序有效。该结构是由渐近抗De Sitter Spacetime与cotangengent束的重力相关的关系。我们描述了对这种关系的了解以及一些可能是真实的扩展。一个关键的事实是，在某些条件下，爱因斯坦哈密顿约束方程式可以看作是衡量cauchy hypersurface的指标的共形恢复组的一种方法。我们遵循的抗De Sitter重力的程序的类似物导致Klein-Gordon粒子的标准结果。
We describe a simple gauge-fixing that leads to a construction of a quantum Hilbert space for quantum gravity in an asymptotically Anti de Sitter spacetime, valid to all orders of perturbation theory. The construction is motivated by a relationship of the phase space of gravity in asymptotically Anti de Sitter spacetime to a cotangent bundle. We describe what is known about this relationship and some extensions that might plausibly be true. A key fact is that, under certain conditions, the Einstein Hamiltonian constraint equation can be viewed as a way to gauge fix the group of conformal rescalings of the metric of a Cauchy hypersurface. An analog of the procedure that we follow for Anti de Sitter gravity leads to standard results for a Klein-Gordon particle.
