Department of Theoretical Physics, Saint-Petersburg State University, St. Petersburg 198504, Russia.
Phys Rev Lett. 2013 Jul 5;111(1):011601. doi: 10.1103/PhysRevLett.111.011601. Epub 2013 Jul 1.
Our understanding of quantum gravity suggests that at the Planck scale the usual geometry loses its meaning. If so, the quest for grand unification in a large non-Abelian group naturally endowed with the property of asymptotic freedom may also lose its motivation. Instead, we propose a unification of all fundamental interactions at the Planck scale in the form of a universal Landau pole, at which all gauge couplings diverge. The Higgs quartic coupling also diverges while the Yukawa couplings vanish. The unification is achieved with the addition of fermions with vector gauge couplings coming in multiplets and with hypercharges identical to those of the standard model. The presence of these particles also prevents the Higgs quartic coupling from becoming negative, thus avoiding the instability (or metastability) of the standard model vacuum.
我们对量子引力的理解表明,在普朗克尺度上,通常的几何结构失去了意义。如果是这样,那么在一个具有渐近自由特性的大非阿贝尔群中寻找大统一的探索可能也失去了动力。相反,我们提出了一种在普朗克尺度上将所有基本相互作用统一起来的方法,形式为普遍的 Landau 极点,在这个极点上所有规范耦合都发散。希格斯四次耦合也发散,而 Yukawa 耦合则消失。通过添加具有矢量规范耦合的费米子和与标准模型相同的超电荷来实现统一。这些粒子的存在也阻止了希格斯四次耦合变为负数,从而避免了标准模型真空的不稳定性(或亚稳定性)。