Complete supersymmetry on the lattice and a No-Go theorem
Complete supersymmetry on the lattice and a No-Go theorem
复制标题
晶格上的完全超对称性和 No-Go 定理
DOI：
10.1007/jhep01(2010)024
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发表时间：
2009
影响因子：
5.4
通讯作者：
G. Bergner
中科院分区：
文献类型：
--
作者：
G. Bergner
在这项工作中，提出并测试了一个超对称理论的晶格配方，保持了完整的超对称晶格。一维非微扰模拟的结果显示了完全超对称性的实现和理论的正确连续极限。这里证明了由于格点上没有莱布尼茨规则而导致的超对称性的破坏只能用非局部导数和非局部相互作用项来修正。我们还讨论了费米子加倍问题，它是超对称破缺的另一个重要来源。这个问题也可以通过非局部实现来解决。
In this work a lattice formulation of a supersymmetric theory is proposed and tested that preserves the complete supersymmetry on the lattice. The results of a onedimensional nonperturbative simulation show the realization of the full supersymmetry and the correct continuum limit of the theory. It is proven here that the violation of supersymmetry due to the absence of the Leibniz rule on the lattice can be amended only with a nonlocal derivative and nonlocal interaction term. The fermion doubling problem is also discussed, which leads to another important source of supersymmetry breaking on the lattice. This problem is also solved with a nonlocal realization.