Small-scale structure of spacetime as the origin of the gravitational constant
Small-scale structure of spacetime as the origin of the gravitational constant
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DOI：
10.1103/physrevd.15.2795
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发表时间：
1977-05
影响因子：
5
通讯作者：
P. Townsend
中科院分区：
文献类型：
--
作者：
P. Townsend
我们提出了一种方法，将普朗克长度作为由时空结构决定的基本常数。在这个方案中，时空对称群被视为具有与普朗克长度成正比的曲率半径的德西特群，但我们认为，这种曲率的影响在基本粒子的长度尺度上并不明显。为了与引力联系起来，我们提出了一个引力相互作用的公式，作为德西特群的规范理论。我们得到一个包含爱因斯坦-嘉当作用量的作用量，但其中维引力常数G自然地出现为de Sitter群的对易关系的结果。我们还发现了一个宇宙学项，引力场的高阶导数耦合，和一个传播的扭转场，我们讨论。
We suggest a means of incorporating the Planck length as a fundamental constant determined by the structure of spacetime. In this scheme the spacetime symmetry group is taken as the de Sitter group with radius of curvature proportional to the Planck length, but we argue that the effects of this curvature are not apparent at elementary-particle length scales. To make the connection with gravity we present a formulation of the gravitational interaction as the gauge theory of the de Sitter group. We obtain an action containing the Einstein-Cartan action, but in which the dimensional gravitational constant G appears naturally as the consequence of the commutation relation of the de Sitter group. We also find a cosmological term, higher-derivative couplings of the gravitational field, and a propagating torsion field, which we discuss.