A perturbative approach to Dirac observables and their spacetime algebra
A perturbative approach to Dirac observables and their spacetime algebra
复制标题
狄拉克可观测量及其时空代数的微扰方法
DOI：
10.1088/0264-9381/24/4/001
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发表时间：
2006
影响因子：
3.5
通讯作者：
J. Tambornino
中科院分区：
文献类型：
--
作者：
B. Dittrich;J. Tambornino
为了计算广义相对论规范公式中的规范不变观测量，我们引入了一种广义近似格式。使用这种格式，我们将展示如何在固定背景上的场论的可观测值和动力学，或者等效地，线性化理论的可观测值可以被理解为完全广义相对论中可观测值的近似。规范不变校正可以计算到任意高阶，我们将显式地计算第一次非平凡校正。此外，我们将首次研究不同时空点对应于场的可观测值之间的泊松代数，并考虑可观测值的局域性。
We introduce a general approximation scheme in order to calculate gauge invariant observables in the canonical formulation of general relativity. Using this scheme we will show how the observables and the dynamics of field theories on a fixed background or equivalently the observables of the linearized theory can be understood as an approximation to the observables in full general relativity. Gauge invariant corrections can be calculated up to an arbitrary high order and we will explicitly calculate the first non-trivial correction. Furthermore, we will make a first investigation into the Poisson algebra between observables corresponding to fields at different spacetime points and consider the locality properties of the observables.