不带容许条件的2dN =（2，2），（4，4）超Yang-Mills理论的格点形式
Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
摘要：
本文给出了二维N=（2，2）和（4，4）超对称Yang-Mills理论的格点公式，该理论在不施加容许条件的情况下解决了规范场的真空简并问题.考虑了U（N）和SU（N）规范群的情形，规范场用幺正连接变量表示，二维正方格点上保持一个或两个超荷。在微扰论中，不存在费米子倍增器，也不需要微调就能得到所需的连续介质理论。这一提法预计将作为一个更方便的基础数值模拟。同样的方法也适用于迄今为止构造的具有幺正连接变量的其他二维超对称格点规范理论--例如N=（8，8）超对称杨-米尔斯理论和N=（2，2）超对称QCD。
英文摘要：
We present a lattice formulation for two-dimensional N=(2,2) and (4,4) supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gauge fields without imposing admissibility conditions. Cases of U(N) and SU(N) gauge groups are considered, gauge fields are expressed by unitary link variables, and one or two supercharges are preserved on the two-dimensional square lattice. There does not appear fermion doubler, and no fine-tuning is required to obtain the desired continuum theories in a perturbative argument. This formulation is expected to serve as a more convenient basis for numerical simulations. The same approach will also be useful to other two-dimensional supersymmetric lattice gauge theories with unitary link variables constructed so far -- for example, N=(8,8) supersymmetric Yang-Mills theory and N=(2,2) supersymmetric QCD.
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