论文标题
从全环量子重力的角度来看，量子还原回路重力的操作员
Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
论文作者
论文摘要
量子还原回路重力是环量子重力的模型，从技术角度来看，它的特征是其基本运算符的非常简单的形式。在本文中，我们从完全循环量子重力的角度研究了量子还原模型的操作员。我们表明，尽管它们很简单，但量子还原模型的操作员只是作用于量子还原模型的希尔伯特空间中的状态的完整理论的运算符。从完整理论运营商到“简化”操作员的段落仅仅是指量子还原模型的状态被认为具有较大的旋转量子数，并且丢弃了比$ j $中领先顺序低的术语。我们的发现阐明了量子还原模型与全环量子重力之间的关系，并加强了量子还原模型的运动学结构所基于的技术基础。
Quantum-reduced loop gravity is a model of loop quantum gravity, which - from the technical point of view - is characterized by the remarkably simple form of its basic operators. In this article we examine the operators of the quantum-reduced model from the perspective of full loop quantum gravity. We show that, in spite of their simplicity, the operators of the quantum-reduced model are simply the operators of the full theory acting on states in the Hilbert space of the quantum-reduced model. The passage from the full theory operators to the "reduced" operators simply consists of noting that the states of the quantum-reduced model are assumed to carry large spin quantum numbers, and discarding terms which are of lower than leading order in $j$. Our findings clarify the relation between the quantum-reduced model and full loop quantum gravity, and strengthen the technical foundations on which the kinematical structure of the quantum-reduced model is based.
