Canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
Canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
复制标题
具有极限曲率的广义相对论的规范结构及其与圈量子引力的关系
DOI：
10.1103/physrevd.97.084057
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发表时间：
2017
影响因子：
5
通讯作者：
J. Schliemann
中科院分区：
文献类型：
--
作者：
N. Bodendorfer;A. Schafer;J. Schliemann
Chamseddine和Mukhanov最近提出了广义相对论的一个修改版本，实现了极限曲率的想法。在空间平坦、均匀和各向同性的扇区中，如果我们把它们的极限曲率与普朗克曲率的倍数等同起来，那么它们的理论就与最简单版本的圈量子引力的有效动力学相一致。与此同时，它扩展到完全广义相对论，而没有任何对称性假设，从而以所有阶数已知的一般协变有效作用量的形式为全圈量子引力提供了一个理想的玩具模型。在本文中，我们研究了这个理论的正则结构，并指出了一些有趣的教训圈量子引力。我们还详细强调了这两个理论是如何连接在空间平坦，均匀，各向同性部门。
Chamseddine and Mukhanov recently proposed a modified version of general relativity that implements the idea of a limiting curvature. In the spatially flat, homogeneous, and isotropic sector, their theory turns out to agree with the effective dynamics of the simplest version of loop quantum gravity if one identifies their limiting curvature with a multiple of the Planck curvature. At the same time, it extends to full general relativity without any symmetry assumptions and thus provides an ideal toy model for full loop quantum gravity in the form of a generally covariant effective action known to all orders. In this paper, we study the canonical structure of this theory and point out some interesting lessons for loop quantum gravity. We also highlight in detail how the two theories are connected in the spatially flat, homogeneous, and isotropic sector.
影响因子：
5.4
作者：
Chamseddine, Ali H.;Mukhanov, Viatcheslav
通讯作者：
Mukhanov, Viatcheslav