arXiv 1606.074772016-06hep-phhep-th

三阶反对称张量标量场II引起的$SU(8)$的Coleman-Weinberg对称破缺：费米子谱

Coleman-Weinberg symmetry breaking in $SU(8)$ induced by a third rank antisymmetric tensor scalar field II: the fermion spectrum

Stephen L. Adler

备注：: Latex, 29 pages; revised and expanded from the initial posting
发表信息：: J. Phys. A: Math. Theor. 50, 295401 (2017)
DOI：: 10.1088/1751-8121/aa768f

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摘要：

我们继续我们的研究的Coleman-Weinberg对称性破缺诱导的第三阶反对称张量标量，在$SU(8)$模型，我们提出了较早的背景下。我们专注于在本文中的定性特征，这将决定模型是否可以接触到所观察到的粒子谱。讨论了BEH机制赋予自旋$\frac{3}{2}$场质量的机制，分析了对称破缺后剩余的无质量自旋$\frac{1}{2}$费米子、整体手征对称性和运行耦合.我们注意到最小的胶子质量矩阵本征值有一个暗示$U(1)_{B-L}$的本征向量，并推测理论运行到一个红外不动点，在那里有一个无质量胶子，其生成元的比例为3：-1。假设这一点，我们讨论了一种机制，使接触的标准模型，基于一个固定的不对称打破$Sp(4)$ $SU(2)$子群，其中之一是电弱$SU(2)$，和其他的是一个“technicolor”组，绑定的原始$SU(8)$模型费米子，发挥“前子”的作用，到复合材料。夸克可以作为5个前子的复合体出现，轻子可以作为3个前子的复合体出现，因此质子可以稳定地衰变为一个轻子加一个介子。一个复合希格斯玻色子可以作为两个前子的复合体出现。由于三个费米子家族不遵守相关守恒全局对称性电流的异常匹配，因此三个复合家族的出现需要形成量子数与此电流匹配的戈德斯通玻色子，这可能是轻暗物质的候选者。

英文摘要：

We continue our study of Coleman-Weinberg symmetry breaking induced by a third rank antisymmetric tensor scalar, in the context of the $SU(8)$ model we proposed earlier. We focus in this paper on qualitative features that will determine whether the model can make contact with the observed particle spectrum. We discuss the mechanism for giving the spin $\frac{3}{2}$ field a mass by the BEH mechanism, and analyze the remaining massless spin $\frac{1}{2}$ fermions, the global chiral symmetries, and the running couplings after symmetry breaking. We note that the smallest gluon mass matrix eigenvalue has an eigenvector suggestive of $U(1)_{B-L}$, and conjecture that the theory runs to an infrared fixed point at which there is a massless gluon with 3 to -1 ratios in generator components. Assuming this, we discuss a mechanism for making contact with the standard model, based on a conjectured asymmetric breaking of $Sp(4)$ to $SU(2)$ subgroups, one of which is the electroweak $SU(2)$, and the other of which is a "technicolor" group that binds the original $SU(8)$ model fermions, which play the role of "preons", into composites. Quarks can emerge as 5 preon composites and leptons as 3 preon composites, with consequent stability of the proton against decay to a single lepton plus a meson. A composite Higgs boson can emerge as a two preon composite. Since anomaly matching for the relevant conserved global symmetry current is not obeyed by three fermion families, emergence of three composite families requires formation of a Goldstone boson with quantum numbers matching this current, which can be a light dark matter candidate.

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