代表普列班斯基引力的瞬时子。引力相干态
Instanton representanton of Plebanski gravity. Gravitational coherent states
摘要：
本文证明了普列班斯基引力的瞬子表象呈现出一个类谐振子相干态的希尔伯特空间。我们把形式主义，并进行国家的建设，我们阐明他们的物理解释。此外，我们提供了一个可逆的映射之间的Ashtekar变量和这个希尔伯特空间的状态，通过瞬子表示。最后，我们将我们的形式和部分结果与圈量子引力中的相应结果进行了比较和说明。
英文摘要：
In this paper we show that the instanton representation of Plebanski gravity exhibits a Hilbert space of harmonic oscillator-like coherent states. We put in place the formalism and carry out the construction of the states, and we elucidate on their physical interpretation. Additionally, we provide an invertible map between the Ashtekar variables and this Hilbert space of states, via the instanton representation. Finally, we compare and constrast our formalism and some of our results with the corresponding ones in loop quantum gravity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
