论文标题
a $ d = 3 $尺寸模型，带有两个$ u（1）$量规字段，通过物质字段和bf互动
A $d = 3$ dimensional model with two $U(1)$ gauge fields coupled via matter fields and BF interaction
论文作者
论文摘要
我们在$ d = 2 + 1 $ $ d =两个扇区中研究模型。其中一个可以被视为可见扇区，仅包含一个$ u（1）$ gauge字段，该字段充当了另一个（隐藏）扇区的探测，由第二$ u（1）$级级字段和巨大的标量和迪拉克费米斯给出。这些物质字段的协变量和一个BF仪表混合项是两个部门。 fermion场上的整合带来了一个有效的理论，它具有Chern-simons项，即使最初在可见的扇区中没有对称性破坏Higgs标量，也支持两个扇区中的涡旋类似于解决方案。我们以数值为单位的溶液对应于电荷磁性涡旋，但BF耦合常数的临界值仅存在纯粹的磁涡流。
We study a model in $d = 2 + 1$ space-time dimensions with two sectors. One of them, which can be considered as the visible sector, contains just a $U(1)$ gauge field which acts as a probe for the other (hidden) sector, given by a second $U(1)$ gauge field and massive scalar and Dirac fermions. Covariant derivatives of these matter fields and a BF gauge mixing term couple the two sectors. Integration over fermion fields leads to an effective theory with Chern-Simons terms that support vortex like solutions in both sectors even if originally there was no symmetry breaking Higgs scalar in the visible sector. We study numerically the solutions which correspond to electrically charged magnetic vortices except for a critical value of the BF coupling constant at which solely purely magnetic vortices exist.
