论文标题
QCD中的超对称性$ _2 $耦合到费米子
Supersymmetry in QCD$_2$ coupled to fermions
论文作者
论文摘要
我们考虑$ 1+1 $尺寸的Yang-Mills理论,具有量规组的$ g $,在伴随表示中与大型Majorana Fermion Field结合,以及许多无数的Dirac或Majoraana Fermions在量规组$ g $的任意表示中转换。结果表明,该理论的巨大部门的频谱在特定的伴随费米恩质量上变成了超对称性。该质量独立于模型的无质量部门的详细结构,仅取决于测量总异常的量规组$ g $和整数$ k $。该模型的无质量扇区不一定是超对称的。
We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of the gauge group $G$. It is shown that the spectrum of the massive sector of this theory becomes supersymmetric at particular mass of adjoint fermion. This mass is independent of the detailed structure of the massless sector of the model and depends only on the gauge group $G$ and integer $k$ measuring the total anomaly. The massless sector of the model is shown to be not necessarily supersymmetric.