点阵上大- $N$ SUSY Yang-Mills的标度设置
Scale setting for large-$N$ SUSY Yang-Mills on the lattice
摘要:
本文利用扭曲约化模型研究了格点上四维超对称Yang-Mills系统的大$N$极限。我们已经产生了动态的大质量的胶子和各种晶格的特胡夫特耦合的配置,并验证了Pfidian仍然是积极的。我们已经确定了晶格间距方面的各种可观获得兼容的结果。外推到无质量的胶子极限,我们得到了超对称理论的晶格间距对裸耦合的依赖性。观察到的依赖性沿着预期的行为预测微扰理论。
英文摘要:
In this paper we study the large $N$ limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings, and verified that the Pfaffian remains positive. We have determined the lattice spacing in terms of various observables obtaining compatible results. Extrapolating to the massless gluino limit we obtain the lattice spacing dependence on the bare couplings for the supersymmetric theory. The observed dependence goes along the expected behaviour predicted by perturbation theory.
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