环量子引力中的宇宙学:保持规范自由度的对称约简

IF 3.7 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Matteo Bruno
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引用次数: 0

摘要

在这篇论文中,我们讨论了环量子宇宙学中SU(2)内部对称性的丧失及其与环量子引力的关系。从Yang-Mills理论中汲取灵感,利用纤维束理论的框架,提出了一种新的规范不变对称约简方法。利用这种方法,我们成功地用Ashtekar变量确定了广义相对论的一个宇宙学扇区,该扇区保留了理论的SU(2)结构以及部分微分同态规范对称。此外,我们分析了柱面函数和经典约束代数的性质,揭示了某些柱面函数具有明显的对称性特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Cosmology in loop quantum gravity: symmetry reduction preserving gauge degrees of freedom
In this manuscript, we address the issue of the loss of SU(2) internal symmetry in loop quantum cosmology and its relationship with loop quantum gravity. Drawing inspiration from Yang–Mills theory and employing the framework of fiber bundle theory, we propose a new gauge-invariant symmetry-reduction approach. Using this method, we successfully identify a cosmological sector of general relativity in terms of Ashtekar variables that preserves the SU(2) structure of the theory as well as part of the diffeomorphism gauge symmetry. Additionally, we analyze the properties of cylindrical functions and the classical constraint algebra, revealing that certain cylindrical functions exhibit distinctive symmetry features.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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