Formulation of supersymmetric gauge theory on the lattice

我们在格上提出了格场论的所谓链接方法公式。我们应用这个配方的情况下，二维和三维的超级杨米尔斯理论的晶格。后来有人指出，域的乘积存在着次序模糊性，因而公式是不一致的。为了解决这个问题，我们研究了矩阵形式的简单低维模型，并提出了几种可能的解决方案。然而，我们得出的结论是，链接的方法制定的晶格超对称性可以一贯制定的李代数，但作为霍普夫代数对称。

We have proposed so called link approach formulation of lattice field theory on the lattice. We applied this formulation to the cases of two and three dimensional super Yang-Mills theories on the lattice. Later it was pointed out that there is ordering ambiguity for the product of fields and thus the formulation is inconsistent. In order to solve this problem we investigated simpler low dimensional models in matrix form and proposed several possible proposals as solution. We, however, came to the conclusion that the link approach formulation of lattice supersymmetry can be consistently formulated not as Lie algebraic but as Hopf algebraic symmetry.