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arXiv 2102.06775hep-lat
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格点$\mathcal{N} = 4$超对称Yang-Mills的本征值谱和标度维数

Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N} = 4$ supersymmetric Yang-Mills

Georg Bergner, David Schaich

摘要:

通过随机计算费米子算符的本征模数,研究了$\mathcal{N} = 4$超对称Yang-Mills理论的晶格正则化.这提供了重要的洞察非微扰重整化群流的晶格理论,通过定义的尺度依赖的有效质量异常尺寸。虽然这种反常的尺寸预计消失的共形连续理论,有限的晶格体积和晶格间距一般导致非零值,我们使用它来研究的方法,以连续极限。我们的数值结果,比较多个晶格体积,t Hooft耦合,和颜色的数量,确认收敛到预期的连续结果,同时量化的晶格文物在较大的耦合越来越重要。

英文摘要:

We investigate the lattice regularization of $\mathcal{N} = 4$ supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. This provides important insight into the non-perturbative renormalization group flow of the lattice theory, through the definition of a scale-dependent effective mass anomalous dimension. While this anomalous dimension is expected to vanish in the conformal continuum theory, the finite lattice volume and lattice spacing generically lead to non-zero values, which we use to study the approach to the continuum limit. Our numerical results, comparing multiple lattice volumes, 't Hooft couplings, and numbers of colors, confirm convergence towards the expected continuum result, while quantifying the increasing significance of lattice artifacts at larger couplings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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