论文标题
自发对称性破坏
A BRST view of the spontaneous symmetry breaking
论文作者
论文摘要
在大统一理论（GUT）的相过渡之后，其单个耦合将其分成基本相互作用的耦合。另一方面，在Eletreweak理论中的Weinberg混合角度的测量确定与SU（2）和U（1）对称性相关的耦合在其对称阶段已经在其对称阶段明显不同。这张图是一致的，因为我们了解到，这种耦合可以独立于能量量表，与肠道尺度上的强相互作用耦合达到共同点。从BRST对称的角度来看，这意味着每个独立的耦合都应与以共同体定义的独立共同体相关联。问题在于，在肠道对称性破裂之前，与此对称相相关的BRST操作员可以预测单个Yang-Mills耦合。这设置了一个问题应该是不对称阶段的BR一个操作员的问题，该问题将允许分裂此耦合，但同时仍与对称阶段的BRST操作员兼容。在这项工作中，我们继续回答这个问题。
After the phase transition of a Grand Unified Theory (GUT), its single coupling splits into the couplings of the basic interactions. On the other side, the measurement of the Weinberg mixing angle in the eletroweak theory determines that the couplings associated to the SU(2) and U(1) symmetries were already distinct in its symmetric phase, before the electroweak breaking. This picture is consistent as we understand that such couplings evolve independently with the energy scale, meeting a common point together with the strong interaction coupling at the GUT scale. From a BRST symmetry point of view, this implies that each independent coupling should be associated to independent cocycles defined on a cohomological basis. The problem is that, before the GUT symmetry breaking, the BRST operator associated to this symmetric phase predicts a single Yang-Mills coupling. This sets the question of what should be the BRST operator of the asymmetric phase, that would allow for the splitting of this coupling but at the same time remain compatible with the BRST operator of the symmetric phase. In this work we proceed to answer this question.
