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arXiv 2212.14036hep-phcond-mat.str-elhep-lathep-thquant-ph
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强CP问题与对称质量解

Strong CP Problem and Symmetric Mass Solution

Juven Wang

摘要:

我们提出了一种新的解决强CP问题的方法--解释了为什么SU(3)强作用力在4d标准模型下具有接近于零的θ角$\barθ_3 \simeq 0$.新的成分是对称质量生成(SMG):只要$G$是所有微扰的局部和非微扰的整体异常自由,就可以在不破坏任何对称性$G$和没有任何二次平均场质量变形的情况下生成保质量或能隙。在我们的第一个模型中,我们提出了一个无序的非平均场SMG间隙(而不是有序的Anderson-Higgs诱导质量间隙)的$u$夸克(或一般的一组夸克和轻子完全反常自由的$G$)由多费米子相互作用或动力学无序质量场产生,吸收$\barθ_3$。第一个模型的另一个变体是SMG缺口,一个假设的隐藏的完整的SM费米子第四家族。在我们的第二个模型中,我们有一个手征SM和镜像SM在一起尊重尼尔森-二宫费米子加倍和宇称反射$\mathbb{Z}_2^{\rm PR}$对称性在高能量,所以$\barθ_3 = 0$。然后SMG只提升具有大能隙的镜像SM,而留下较低能量的手征SM,这不仅“自发地”最大限度地破坏宇称反射对称性,而且通过去除费米子加倍,将我们的解与另一个非微扰手征费米子正则化问题联系起来.这两个基于SMG的模型的预测特征是,一些SM费米子或镜像费米子通过假设的直接多费米子或无序质量场相互作用进行高度相互作用(超越传统的SM希格斯或SM规范相互作用)。

英文摘要:

We propose a novel solution to the Strong CP problem -- to explain why SU(3) strong force has a nearly zero theta angle $\barθ_3 \simeq 0$ for the 4d Standard Model (SM). The new ingredient is Symmetric Mass Generation (SMG): symmetry-preserving mass or energy gap can be generated without breaking any symmetry $G$ and without any quadratic mean-field mass deformation as long as $G$ is all perturbative local and nonperturbative global anomaly-free. In our first model, we propose a disordered non-mean-field SMG gap (instead of the ordered Anderson-Higgs induced mass gap) for the $u$ quark (or generally a set of quarks and leptons totally anomaly-free in $G$) generated by multi-fermion interactions or by dynamical disordered mass fields, absorbing $\barθ_3$. Another variant of this first model is the SMG gapping a hypothetical hidden full fourth family of SM fermions. In our second model, we have a chiral SM and mirror SM together to respect the Nielsen-Ninomiya fermion-doubling and a parity-reflection $\mathbb{Z}_2^{\rm PR}$ symmetry at high energy, so the $\barθ_3 = 0$. Then the SMG lifts only the mirror SM with a large energy gap but leaves the chiral SM at lower energy, which not only "spontaneously" breaks the parity-reflection symmetry maximally but also relates our solution to solve another nonperturbative chiral fermion regularization problem by removing the fermion doubling. The predictive signature of both SMG-based models is that some SM fermions or mirror fermions are highly interacting (beyond the conventional SM Higgs or SM gauge interactions) mediated through hypothetical direct multi-fermion or disordered mass-field interactions.

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