Various super Yang-Mills theories with exact supersymmetry on the lattice
Various super Yang-Mills theories with exact supersymmetry on the lattice
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晶格上具有精确超对称性的各种超杨-米尔斯理论
DOI：
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发表时间：
2004
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影响因子：
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通讯作者：
Fumihiko Sugino
中科院分区：
文献类型：
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作者：
Fumihiko Sugino
我们沿着前面论文[1,2]讨论的路线继续构造晶格超级Yang-Mills理论。在四维= 2,4理论的构造中，我们在不影响精确晶格超对称的情况下解决了[1]中的简并真空问题，而在弱耦合展开中，玻色子和费米子扇区中都出现了反映精确超对称的剩余模。对所述模型稍加修改，以便在通过降维得到的二维和三维模型中消除所有剩余模态。= 4,8的三维模型需要分别对三个参数和一个参数进行微调才能得到理想的连续统理论，而= 4,8的二维模型则不需要进行微调。
We continue to construct lattice super Yang-Mills theories along the line discussed in the previous papers [1,2]. In our construction of = 2, 4 theories in four dimensions, the problem of degenerate vacua seen in [1] is resolved without affecting exact lattice supersymmetry, while in the weak coupling expansion some surplus modes appear both in bosonic and fermionic sectors reflecting the exact supersymmetry. A slight modification to the models is made such that all the surplus modes are eliminated in two- and three-dimensional models obtained by dimensional reduction thereof. = 4, 8 models in three dimensions need fine-tuning of three and one parameters respectively to obtain the desired continuum theories, while two-dimensional models with = 4, 8 do not require any fine-tuning.