arXiv 2006.027182020-06-04hep-thmath-phmath.MP

非厄米量子场论中的t Hooft-Polyakov单极子

't Hooft-Polyakov monopoles in non-Hermitian quantum field theory

Andreas Fring, Takanobu Taira

备注：: 16 pages, 3 figures
发表信息：: Physics Letters B 807 (2020) 135583
DOI：: 10.1016/j.physletb.2020.135583

摘要：

本文在具有局域非阿贝尔SU（2）规范对称性和修正的反线性CPT对称性的非厄米场论中构造了精确的t Hooft-Polyakov解。的解决方案是在一个四倍的Bogomolny-Prasad-Sommerfield标度限制产生两种不同类型的饱和的较低的能量约束的质量。这两个质量只在厄密极限和对称破缺真空趋向于平凡对称保持真空的极限重合。在对应于两个已知戴森映射的两个理论中，这两个质量是交换的，不像希格斯和规范质量在两个理论中保持不变。我们确定了三个不同类型的例外点的参数空间中的独立区域。在第一个区域中，双曲质量是有限的，并且在边界例外点处都趋于零，在第二个区域中，双曲质量变得复杂，在第三个区域中，只有一个双曲质量在边界例外点处变为零，而另一个趋于无穷大。我们在参数空间中找到了一个自对偶点，在这个点上规范质量与非规范质量完全相同。

英文摘要：

We construct exact t Hooft-Polyakov monopole solutions in a non-Hermitian field theory with local non-Abelian SU(2) gauge symmetry and a modified antilinear CPT symmetry. The solutions are obtained in a fourfold Bogomolny-Prasad-Sommerfield scaling limit giving rise to two different types of monopole masses that saturate the lower energy bound. These two masses only coincide in the Hermitian limit and in the limit in which the symmetry breaking vacuum tends to the trivial symmetry preserving vacuum. In the two theories corresponding to the two known Dyson maps these two masses are exchanged, unlike the Higgs and the gauge masses, which remain the same in both theories. We identify three separate regions in parameter space bounded by different types of exceptional points. In the first region the monopole masses are finite and tend both to zero at the boundary exceptional point, in the second the monopole masses become complex and in the third only one of the monopole masses becomes zero at the boundary exceptional point, whereas the other tends to infinity. We find a self-dual point in parameter space at which the gauge mass becomes exactly identical to the monopole mass.

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