论文标题

$ \ Mathcal {n} = 1 $ Supersmpersymmetric yang-mills理论的超电流重新归如此

Supercurrent renormalization of $\mathcal{N}=1$ supersymmetric Yang-Mills theory on the lattice

论文作者

Bergner, Georg, Costa, Marios, Panagopoulos, Haralambos, Piemonte, Stefano, Soler, Ivan, Spanoudes, Gregoris

论文摘要

晶格上的超对称性被Gluino质量和晶格伪像明确打破。但是,可以通过基于重新归一化的病房身份微调参数来恢复连续性极限。在重新归一化步骤上,不仅需要解决质量,而且还需要解决超潮流的重新归一化。在这里,我们提出了一项晶格调查,以获取$ \ MATHCAL {N} $ = 1个超阳米尔斯理论的超潮流的重新归一化因子,该理论是在规格不变的重新归一化方案中。我们还提供了将结果转换为更标准的$ \ overline {\ text {ms}} $ scheme所必需的转换因子。

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization step not only the mass but also the renormalization of the supercurrent needs to be addressed. Here we present a lattice investigation to obtain the renormalization factors of the supercurrent for $\mathcal{N}$=1 Super-Yang Mills theory in a gauge invariant renormalization scheme. We also provide the conversion factors which are necessary in order to translate our results to the more standard $\overline{\text{MS}}$ scheme.

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