Peccei-Quinn对称性破缺通过渐近安全的动力学标度生成：行走轴色和轴子
Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
摘要：
与标准模型中的电弱对称性破缺一样，微扰动力学中的Pecci-Quinn（PQ）对称性破缺也会遇到层次问题。与PQ对称性破缺有关的轴子动力学也会涉及一个平凡的问题。我们提供了一个解决PQ对称性破缺情形中可能存在的这两个问题的范例，同时保持了QCD强CP相的成功轴子弛豫。所提出的理论包括轴色动力学与轴色费米子部分规范的QCD颜色，并被证明是由一个渐近安全（AS）的不动点：量子标度不变性的建立。AS轴色实际上是一种"行走”动力学，它动态地打破了PQ对称性，这是轴色费米子所携带的手征对称性的一部分。PQ规模的产生，然后触发的非微扰的“行走”动力学的维度嬗变。一个复合的轴子出现作为相关的南武-戈德斯通玻色子。也就是说，那里不存在等级或琐碎的问题。由于AS轴色（"行走”轴色）的特征，复合轴子可能是轻的，在反Veneziano极限下成为QCD轴子，并通过次引导校正变得更重。复合轴子弛豫QCD θ参数，涉及较重的弛豫伙伴，如axicolored赝标量介子，和紫外线修正的弛豫机制是由建立（近）规模不变性保护期间的“步行”制度。
英文摘要：
Pecci-Quinn (PQ) symmetry breaking by perturbative dynamics would suffer from a hierarchy problem, just like the electroweak symmetry breaking in the standard model. The dynamics of the axion, associated with the PQ symmetry breaking, would also involve a triviality problem. We provide a paradigm to resolve those two problems potentially existing in the PQ symmetry breaking scenario, with keeping successful axion relaxation for the QCD strong CP phase. The proposed theory includes an axicolor dynamics with the axicolored fermions partially gauged by the QCD color, and is shown to be governed by an asymptotically safe (AS) fixed point: quantum scale invariance is built. The AS axicolor is actually a ``walking" dynamics, which dynamically breaks a PQ symmetry, a part of the chiral symmetry carried by the axicolored fermions. The PQ scale generation is then triggered by the nonperturbative dimensional transmutation in the ``walking" dynamics. A composite axion emerges as the assosiated Nambu-Goldstone boson. That is, no hierarchy or triviality problem is present there. The composite axion can potentially be light due to the characteristic feature of the AS axicolor (``walking" axicolor), becomes the QCD axion in the anti-Veneziano limit, and gets heavier by the subleading correction. The composite axion relaxes the QCD theta parameter, involving heavier relaxation partners such as axicolored pseudoscalar mesons, and the ultraviolet correction to the relaxation mechanism is protected by the established (near) scale invariance during the ``walking" regime.
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