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Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory

机译:八味苏(3)尺度理论中超出Dilaton手术理论的探索

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We continue our study of spectroscopy data for the SU(3) gauge theory with eight fundamental fermions, motivated by the effective field theory framework of dilaton chiral perturbation theory (dChPT). At leading order dChPT predicts a constant mass anomalous dimension γ m , consistent with the assumed proximity of an infrared fixed point. For the relatively large fermion masses simulated by the LatKMI Collaboration, the influence of the infrared fixed point diminishes, and our fits suggest that γ m starts running. Since a complete higher-order analysis is not feasible with presently available data, we adopt a more phenomenological approach. We propose a partial extension to higher orders, which incorporates the running of γ m into the tree-level Lagrangian. We find that this extension successfully describes the full fermion-mass range of the LatKMI data, including the pion taste splittings which arise from using staggered fermions in the lattice simulations. We also investigate a more general class of dilaton potentials proposed in the literature, using both the LSD and LatKMI datasets, concluding that these data favor the form predicted by dChPT.
机译:我们继续研究SU(3)尺度理论的光谱数据,具有八个基本的污垢,受到Dilaton手术扰动理论(DCHPT)的有效场理论框架的动机。在领先的顺序中,DCHPT预测恒定质量异常尺寸γM,与红外固定点的假设接近一致。对于由Latkmi协作模拟的相对较大的Fermion群体,红外线定点的影响降低,我们的配合表明γM开始运行。由于完整的高阶分析与目前可用的数据不可行,因此我们采用了更具现象的方法。我们向更高的订单提出了一个部分扩展,它将γM的运行融入到树级拉格朗日。我们发现,此扩展成功地描述了Latkmi数据的完整Fermion-Mass范围,包括在晶格模拟中使用交错的费米氏术产生的磁场味道分裂。我们还使用LSD和Latkmi数据集来调查文献中提出的更普遍的庞塔顿潜力,得出结论,这些数据有利于DCHPT预测的形式。

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