发表机构
Center for Data-Driven Discovery, Kavli Institute for the Physics and Mathematics of the Universe (WPI), UTIAS, The University of Tokyo; Department of Mathematical Physics, Institute of Physics, University of Sao Paulo; Kavli Institute for the Physics and Mathematics of the Universe (WPI), UTIAS, The University of Tokyo; Tsung-Dao Lee Institute & School of Physics and Astronomy, Shanghai Jiao Tong University（东京大学宇宙射线研究所、Kavli宇宙物理与数学研究所（WPI）、UTIAS数据驱动发现中心; 圣保罗大学物理学院数学物理系; 东京大学宇宙射线研究所、Kavli宇宙物理与数学研究所（WPI）、UTIAS; 上海交通大学物理与天文学院、李政道研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究聚焦无标度引力的Jordan与Einstein框架等价性问题，通过排除变换奇点实现两框架经典等价，利用Jordan框架的对称性构建粒子物理模型，自然得到高质量轴子并纳入跷跷板机制。
AI 中文摘要
无标度引力是一个用于描述粒子物理、引力与宇宙学的引人注目的框架，其中所有质量标度都是标量场φ取值带来的一种表象。不过该理论属于更广泛的标量-张量理论范畴，这类理论会根据标量场传播不同的模式，且面临着关于其Jordan框架与Einstein框架描述等价性的广泛争论。在本研究中，我们主张通过排除两框架变换中的奇点（如φ=0），可使两框架实现经典等价。为证明排除该奇点的益处，我们指出Jordan框架能显式展现模型的对称性，这为粒子物理模型构建提供了合适的平台，我们通过展示离散对称性的出现来例证这一点，该离散对称性会产生高质量的轴子，同时还能自然地纳入跷跷板机制。
英文摘要
The No-Scale gravity is a compelling framework to describe particle physics, gravity and cosmology, in which all mass scales are an illusion given by the value of a scalar field $ϕ$. This theory, however, falls under the umbrella of more general scalar-tensor theories, which propagate different modes depending on the scalar field, and faces the extensive debate regarding the equivalence between its Jordan and Einstein frame descriptions. In this work we advocate that by excluding the singular point in the transformation between the two frames (e.g., $ϕ=0$) we can have the classical equivalence between them. To show the merit of removing this singular point, we argue the Jordan frame makes the symmetries of the model manifest, which creates a suitable playground for the particle-physics model building which we illustrate by showing the emergence of discrete symmetries which leads to a high-quality axion and also naturally incorporate the seesaw mechanism.
Comments9 pages
