论文标题
在非亚美非洲非亚伯仪理论中，巨大的规格颗粒与戈德石玻色子
Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
论文作者
论文摘要
我们在其参数空间的不同区域中，研究了非赫米特现场理论的Englert-brout-higgs-gurnik-hagen-kibble机制。我们证明，该机制的两个方面是给量规载体的质量，同时避免存在无质量的金矿玻色子，在所有以修改的CPT对称性为特征的所有方案中仍尚待同步。在参数空间的域中，可以识别出“将是戈德石玻色子”的量规载体变为巨大，而戈德石玻色子不再存在。该机制也处于标准特殊点。然而，在零特殊点处，那就是当质量平方基质的特征值消失了，无论对称性破裂，机制都无法识别，而无法识别戈德石玻色子并且仪表矢量玻色子仍然无质量。这种分解与质量平方基质特征向量空间上定义的对称性真空的CPT内部产物消失了。我们为使用SU（N）对称性的理论验证了这种行为，在该理论中，在基本和伴随表示中采用了复杂的标量场。
We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism for non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We demonstrate that the two aspects of the mechanism, that is giving mass to gauge vector bosons and at the same time preventing the existence of massless Goldstone bosons, remain to be synchronized in all regimes characterized by a modified CPT symmetry. In the domain of parameter space where the "would be Goldstone bosons" can be identified the gauge vector bosons become massive and the Goldstone bosons cease to exist. The mechanism is also in tact at the standard exceptional points. However, at the zero exceptional points, that is when the eigenvalues of the mass squared matrix vanish irrespective of the symmetry breaking, the mechanism breaks down as the Goldstone bosons can not be identified and the gauge vector bosons remain massless. This breakdown coincides with the vanishing of the CPT inner product of symmetry breaking vacua defined on the eigenvector space of mass squared matrix. We verify this behaviour for a theory with SU(N) symmetry in which the complex scalar fields are taken in the fundamental as well as in the adjoint representation.
