论文标题
晶格上的n n n exausing fermions
Adjoint fermions at large-N on the lattice
论文作者
论文摘要
Yang-Mills理论的晶格模拟以及在伴随表示中的$ N_F $ Fermions的味道提供了一种探测多种不同物理场景的非扰动制度的方法，例如Supersympersymmetricric Yang-Mills理论到BSM模型。我们对这些理论的巨大$ n_c $限制感兴趣，因为标准晶格技术受高度计算成本的限制。我们的方法利用了成熟的扭曲卷减少，这使人们可以在$ 1^4 $晶格上模拟这些理论。在本次演讲中，我们将详细研究这些理论的规模设置，并通过威尔逊流动技术执行，但具有使我们能够减少有限体积（有限$ N_C $）系统效应的程序。我们将将此过程应用于$ n_f = 0，\ frac {1} {2}，1,2 $的配置，并分析比例对耦合，邻接费米质量和风味数量的依赖性。对于可获得足够的耦合的情况，我们将产生的$β$功能与扰动理论的预测进行了比较，发现非常良好的一致性。
Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric Yang-Mills theory to BSM models. We are interested in the large-$N_c$ limit of these theories, for which standard lattice techniques are limited by high-computational costs. Our approach makes use of the well-established twisted volume reduction, which allows one to simulate these theories on a $1^4$ lattice. In this talk, we are going to present a detailed study of the scale setting of these theories, performed with Wilson flow techniques, but endowed with a procedure that allowed us to reduce finite-volume (finite $N_c$) systematic effects. We will apply this procedure to our configurations for $N_f=0,\frac{1}{2},1,2$ and analyze the dependence of the scale on the coupling, the adjoint fermion mass and the number of flavours. For the cases in which enough couplings are available we compared the resulting $β$-function with the predictions of perturbation theory, finding very good agreement.
