关于引力中韦尔规规对称性的说明

IF 3.6 3区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Classical and Quantum Gravity Pub Date : 2024-09-08 DOI:10.1088/1361-6382/ad7186

N Mohammedi

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引用次数: 0

摘要

引力的尺度不变理论最多包含两个导数，除黎曼度量外，还需要一个标量场和（或）一个规量场。轨迹场通常用于构建韦尔几何的仿射连接。在本注释中，我们结合了规量场和标量场，以建立广义尺度不变的韦尔仿射连接。由这个广义韦尔仿射连接产生的利玛窦张量和利玛窦标量自然包含标量场和规量场的动力学项。这为这些项提供了几何解释。研究还表明，在存在宇宙常数和质量项的情况下，尺度不变性并没有完全丧失。它变成了与各种场相关的对偶变换。

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A note on Weyl gauge symmetry in gravity

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usually used to construct the affine connection of Weyl geometry. In this note, we incorporate both the gauge field and the scalar field to build a generalised scale invariant Weyl affine connection. The Ricci tensor and the Ricci scalar made out of this generalised Weyl affine connection contain, naturally, kinetic terms for the scalar field and the gauge field. This provides a geometric interpretation for these terms. It is also shown that scale invariance in the presence of a cosmological constant and mass terms is not completely lost. It becomes a duality transformation relating various fields.

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来源期刊

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.