论文标题

'非铁量量子场理论中的Hooft-Polyakov单孔

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

论文作者

Fring, Andreas, Taira, Takanobu

论文摘要

我们将精确的T Hooft-polyakov单极溶液在非局部野外理论中,其局部非亚伯式SU(2)仪表对称性和修饰的抗线性CPT对称性。该溶液以四倍的bogomolny-prasad-sommerfield缩放极限获得,从而产生了两种不同类型的单极质量,使较低的能量结合饱和。这两个质量仅重合遗传学极限,而在对称性破坏真空倾向于保存真空的极限。在与两个已知dyson地图相对应的两个理论中,这两个质量被交换了,与希格斯和仪表质量不同,这两个理论在这两个理论中都保持不变。我们在参数空间中识别三个独立的区域,这些区域是由不同类型的特殊点界定的。在第一个区域,单子质量是有限的,并且在边界特殊点处趋于零,第二个单子质量变得复杂,在第三个单极块中,只有一个单子质量在边界特殊点处变为零,而其他单极质量则趋于无限。我们在参数空间中发现了一个自偶,仪表质量与单极质量完全相同。

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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