论文标题

$ \ Mathbf {\ Mathcal {n} = 1} $ supersymmetric SU(3)Yang-Mills理论中的病房身份的连续性外推

Continuum extrapolation of Ward identities in $\mathbf{\mathcal{N}=1}$ supersymmetric SU(3) Yang-Mills theory

论文作者

Ali, Sajid, Bergner, Georg, Gerber, Henning, Montvay, Istvan, Münster, Gernot, Piemonte, Stefano, Scior, Philipp

论文摘要

在$ \ Mathcal {n} = 1 $ supersymmetricric的Yang-mills理论(在时空晶格上定期),除了Gluino质量术语的破裂外,晶格调节器明确断裂了超对称性。除了该理论中的参数调整外,超对称病房的身份还可以用作研究晶格伪像的工具,并检查是否可以在手性和连续限制中恢复超对称性。在本文中,我们介绍了对我们可用的量规合奏的超对称病房身份的分析的数值结果,该量规合集的逆向值耦合$β$的不同值和跳跃参数$κ$。结果清楚地表明,晶格伪影在连续限制中消失,证实了超对称性的恢复。

In $\mathcal{N}=1$ supersymmetric Yang-Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits. In this paper we present the numerical results of an analysis of the supersymmetric Ward identities for our available gauge ensembles at different values of the inverse gauge coupling $β$ and of the hopping parameter $κ$. The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.

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