Quaternion-Loop Quantum Gravity

被引：1
|
作者：
Maia, M. D. [1 ]
e Almeida Silva, S. S. [1 ]
Carvalho, F. S. [1 ]
机构：
[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil
来源：
FOUNDATIONS OF PHYSICS | 2009年 / 39卷 / 11期
关键词：
Loop quantum gravity; Wilson loops; Quaternions; Quantum gravity;
D O I：
10.1007/s10701-009-9350-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the Riemannian curvature of the 3-dimensional hypersurfaces in space-time, described by the Wilson loop integral, can be represented by a quaternion quantum operator induced by the SU(2) gauge potential, thus providing a justification for quaternion quantum gravity at the Tev energy scale.
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页码：1273 / 1279
页数：7
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