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

M. Golterman, Y. Shamir
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引用次数: 13

Abstract

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 $\gamma_m$, 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 $\gamma_m$ 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 $\gamma_m$ 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.
八味SU(3)规范理论中超越扩张手性微扰理论的探索
在扩张子手性微扰理论(dChPT)的有效场论框架的激励下,我们继续用8个基本费米子研究SU(3)规范理论的光谱数据。在主阶,dChPT预测了一个恒定质量的异常维度$\gamma_m$,与假设的红外固定点的接近一致。对于LatKMI合作模拟的相对较大的费米子质量,红外固定点的影响减弱,我们的拟合表明$\gamma_m$开始运行。由于一个完整的高阶分析是不可行的与目前可用的数据,我们采用了更现象学的方法。我们提出了一个高阶的部分扩展,它将$\gamma_m$的运行合并到树级拉格朗日中。我们发现这一扩展成功地描述了LatKMI数据的整个费米子-质量范围,包括在晶格模拟中使用交错费米子引起的介子口味分裂。我们还研究了文献中提出的更一般的一类膨胀势,使用LSD和LatKMI数据集,得出结论,这些数据有利于dChPT预测的形式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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