论文标题
八味su（3）量表理论中的dilaton手性扰动理论之外的探索
Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
论文作者
论文摘要
我们继续研究SU（3）仪表理论的光谱数据，其八个基本费用是由Dilaton手性扰动理论（DCHPT）的有效现场理论框架所激发的。在领先顺序上，DCHPT预测恒定的质量异常尺寸$γ_M$，这与红外固定点的假定接近性一致。对于由Latkmi协作模拟的相对较大的费米亚质量，红外固定点的影响减少，我们的拟合表明$γ_M$开始运行。由于目前可用的数据完全不可行，因此我们采用了一种更现象的方法。我们提出了对更高订单的部分扩展，该订单将$γ_M$的运行纳入树级拉格朗日。我们发现，该扩展成功地描述了LATKMI数据的完整费米亚质量范围，包括在晶状体模拟中使用交错的费米子产生的乳头味道分裂。我们还使用LSD和LATKMI数据集研究了文献中提出的更一般的DILATON电位，得出的结论是，这些数据有利于DCHPT预测的形式。
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 data sets, concluding that these data favor the form predicted by dChPT.
