论文标题
无异常的比例对称性和重力
Anomaly-free scale symmetry and gravity
论文作者
论文摘要
在这封信中，我们解决了一个问题，即是否可以将保形不变性视为基本互动理论的全球对称性。为了描述自然，该理论必须包含刻度对称性自发断裂的机制。除此之外，基本理论必须包括重力，而与弯曲的时空无异常的共形不变性的所有已知扩展。我们表明，仅在平坦空间中，可以使共形对称性摆脱量子异常。重力的存在将仅将基本理论的全球对称群降低到量表不变性。我们讨论如何将尊重比例对称性的有效拉格朗日人用于描述粒子现象学和宇宙学。
In this Letter, we address the question of whether the conformal invariance can be considered as a global symmetry of a theory of fundamental interactions. To describe Nature, this theory must contain a mechanism of spontaneous breaking of the scale symmetry. Besides that, the fundamental theory must include gravity, whereas all known extensions of the conformal invariance to the curved space-time suffer from the Weyl anomaly. We show that conformal symmetry can be made free from the quantum anomaly only in the flat space. The presence of gravity would reduce the global symmetry group of the fundamental theory to the scale invariance only. We discuss how the effective Lagrangian respecting the scale symmetry can be used for the description of particle phenomenology and cosmology.
