论文标题

斧头质量的问题:低能能源有效的动作视角

The Problem of Axion Quality: A Low Energy Effective Action Perspective

论文作者

Dine, Michael

论文摘要

任何可能的peccei-quinn(PQ)对称性都容易受到各种显式破裂的影响。长期以来,人们已经认识到,这些会破坏轴突解决方案,以解决强大的CP问题。也有人建议,在某些情况下,这些可能会导致斧头的大量质量。该计算的两种校正已被广泛考虑:高维对称性破坏操作员,在理论中,有一个复杂的字段负责PQ对称性的自发断裂和小型Instantons。由小型intantons主导着非亚伯仪理论的$θ$的电源的动机,我们根据对QCD尺度的尺度上的尺度上的限制作用来提出轴法质量问题。在这种语言中,标准轴心质量计算在此动作中假定了几乎精确的PQ对称性。更高的维操作员和/或小型intantons代表威尔逊动作中的对称破坏术语。这张照片允许对{\ it轴质量}的问题进行统一处理。如果假设在高能量下命令违反一个CP,那么解决强大的CP问题会限制此Wilsonian行动中的轴法潜在术语;特别是,轴质量必须非常接近其“标准”值。

Any would-be Peccei-Quinn (PQ) symmetry is vulnerable to various types of explicit breaking. It has long been recognized that these can disrupt the axion solution to the strong CP problem. There have also been suggestions that, under certain circumstances, these can lead to a surprisingly large mass for the axion. Two types of corrections to this computation have been widely considered: higher dimension symmetry breaking operators, in theories where there is a complex field responsible for the spontaneous breaking of the PQ symmetry, and small instantons. Motivated by situations where small instantons dominate the $θ$ potential of non-abelian gauge theories, we formulate the question of axion quality in terms of constraints on a Wilsonian effective action at scales somewhat above the scale of QCD. In this language, the standard axion mass computation assumes a nearly exact PQ symmetry in this action. The higher dimension operators and/or small instantons represent symmetry breaking terms in the Wilsonian action. This picture permits a uniform treatment of the problem of {\it axion quality}. If one assumes order one CP violation at high energies, then solving the strong CP problem constrains the axion potential terms in this Wilsonian action; in particular, the axion mass must be extremely close to its "standard" value.

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