论文标题
在受限制的Weyl对称性上
On Restricted Weyl Symmetry
论文作者
论文摘要
我们在弯曲的时空中讨论了受限制的Weyl对称性的物理，其中量规参数$ω（x）$ WEYL转换满足约束$ \ boxω= 0 $。首先，我们提出了一个QED的模型，其中我们具有限制的量规对称性，从某种意义上说，在平坦的Minkowski时空中，A $ u（1）$量表参数$θ（x）$ obeys a a $ u（1）$量表对称性。接下来，精确地表明，在量子水平上必须自发地打破全球尺度对称性。最后，我们讨论了受限制的Weyl对称性的起源，并表明其对称性可以通过在BRST形式主义中采用量规条件$ r = 0 $来源自完整的Weyl对称性。
We discuss the physics of a restricted Weyl symmetry in a curved space-time where a gauge parameter $Ω(x)$ of Weyl transformation satisfies a constraint $\Box Ω= 0$. First, we present a model of QED where we have a restricted gauge symmetry in the sense that a $U(1)$ gauge parameter $θ(x)$ obeys a similar constraint $\Box θ= 0$ 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.
