Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
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非厄米非阿贝尔规范理论中的大质量规范粒子与戈德斯通玻色子
DOI：
10.1140/epjp/s13360-022-02889-z
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Takanobu Taira
中科院分区：
文献类型：
--
作者：
A. Fring;Takanobu Taira
我们在参数空间的不同区域研究了具有局域非阿贝尔规范对称性的非厄米场论的Engert-Brout-Higgs-Guralnik-Hagen-Kibble机制。我们证明了这一机制的两个方面，即赋予规范矢量玻色子质量和防止无质量Goldstone玻色子的存在，在所有以修正的CPT对称性为特征的区域内仍然是同步的。在“可能是Goldstone玻色子”的参数空间中，规范矢量玻色子变得大质量，Goldstone玻色子不复存在。在标准的例外情况下，这一机制也是巧妙的。然而，在零例外点处，即当质量平方矩阵的本征值消失而不考虑对称性破缺时，该机制破裂，因为Goldstone玻色子不能被识别，规范矢量玻色子保持无质量。这个击穿与定义在质量平方矩阵的本征向量空间上的对称破缺真空的CPT内积的消失是一致的。我们验证了具有SU(2)对称性的理论的这一行为，在该理论中，复标量场不仅在伴随表示中，而且在基本表示中。
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 cannot 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(2) symmetry in which the complex scalar fields are taken in the fundamental as well as in the adjoint representation.
非厄米场论中的自发对称破缺和戈德斯通定理
影响因子：
5
作者：
Alexandre J
通讯作者：
Alexandre J