12个无质量费米子与SU（3）规范群共形不动点的命运
Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group
摘要：
我们报告了一个重要的强耦合规范理论，复合希格斯模型超越标准模型的基石共形属性的新结果。在SU（3）色规范群的基本表象中有12个无质量费米子，最近在理论中报道了$β$ -函数的红外不动点（Cheng：2014 jba），在窄$[ 6.0<g_*^2<6.4]$区间内临界规范耦合的位置不确定，并被广泛接受为理论中共形不动点和标度不变性的最强证据，具有建模意义。使用完全相同的重整化方案，以前的研究，我们表明，没有不动点的$β$ -函数存在于报告的时间间隔。我们的研究结果消除了$N_f=12$模型中唯一看似可信的共形不动点和尺度不变性的证据，该模型的红外特性仍未得到解决。最近完成的5圈QCD β函数的影响，任意味数进行了讨论，相对于我们的工作。
英文摘要：
We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in the fundamental representation of the SU(3) color gauge group, an infrared fixed point of the $β$-function was recently reported in the theory (Cheng:2014jba) with uncertainty in the location of the critical gauge coupling inside the narrow $[ 6.0<g_*^2<6.4]$ interval and widely accepted since as the strongest evidence for a conformal fixed point and scale invariance in the theory with model-building implications. Using the exact same renormalization scheme as the previous study, we show that no fixed point of the $β$-function exists in the reported interval. Our findings eliminate the only seemingly credible evidence for conformal fixed point and scale invariance in the $N_f=12$ model whose infrared properties remain unresolved. The implications of the recently completed 5-loop QCD beta function for arbitrary flavor number are discussed with respect to our work.
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