Restricted Weyl symmetry
Restricted Weyl symmetry
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限制外尔对称性
DOI：
10.1103/physrevd.102.045008
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发表时间：
2020
影响因子：
5
通讯作者：
I. Oda
中科院分区：
文献类型：
--
作者：
I. Oda
讨论了在弯曲时空中Weyl变换的规范参数$\Omega(x)$满足约束$\Box \Omega = 0$的受限Weyl对称的物理性质。首先，我们提出了一个QED模型，其中我们有一个受限的规范对称，即$U(1)$规范参数$\theta(x)$在平坦的闵可夫斯基时空中服从类似的约束$\Box \theta = 0$。其次，精确地证明了全局尺度对称性必须在量子水平上被自发破缺。最后，我们讨论了受限Weyl对称的起源，并证明了它的对称性可以通过BRST形式下的规范条件$R = 0$从完全Weyl对称中导出。
We discuss the physics of a restricted Weyl symmetry in a curved space-time where a gauge parameter $\Omega(x)$ of Weyl transformation satisfies a constraint $\Box \Omega = 0$. First, we present a model of QED where we have a restricted gauge symmetry in the sense that a $U(1)$ gauge parameter $\theta(x)$ obeys a similar constraint $\Box \theta = 0$ in a flat Minkowski space-time. Next, it is precisely shown that a global scale symmetry must be spontaneously broken at the quantum level. Finally, we discuss the origin of the restricted Weyl symmetry and show that its symmetry can be derived from a full Weyl symmetry by taking a gauge condition $R = 0$ in the BRST formalism.