Numerical data of the SU(3) gauge theory with N f = 8 fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the dilaton-pion low-energy theory is applicable thanks to the parametric proximity of the conformal window. In this regime, the leading hyperscaling relations are similar to those of a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects. Assuming that the N f = 8 theory confines, we estimate how light the fermion mass should be to enter the small-mass regime, where the pions become much lighter than the dilatonic scalar meson.
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机译：SU（3）规范理论的数值数据在基本表示中具有N f = 8个费米子，表明存在一个大质量状态，其中费米子质量相对于约束尺度不小，但dilaton-pion值低-能量理论的适用性由于共形窗口的参数接近性。在这种情况下，超前的超比例关系与质量变形的共形理论的相似，因此，要区分红外与共形与限制，需要研究超前效应。假设N f = 8的理论局限性，我们估计进入小质量状态的小费米子的光子质量，在此小子中，介子变得比膨胀论的标量介子轻得多。
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