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arXiv 1806.07154hep-lat
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从手征对称性破缺到SU的共形性(2)规范理论

From chiral symmetry breaking to conformality in SU(2) gauge theory

Alessandro Amato, Viljami Leino, Kari Rummukainen, Kimmo Tuominen, Sara Tähtinen

摘要:

我们计算了SU(2)规范理论在规范群的基本表象中具有两个、四个和六个狄拉克费米子的谱。我们研究了介子质量的标度作为夸克质量的函数时,接近手征极限。我们发现的行为与通常的模式兼容的手征对称性破缺在$N_f\le 4$和存在的红外固定点在$N_f=6$。在六味的情况下,我们确定的夸克质量算符的光谱的异常尺寸,并发现结果与以前的分析完全一致。

英文摘要:

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the chiral limit. We find behavior compatible with the usual pattern of chiral symmetry breaking at $N_f\le 4$ and with the existence of an infrared fixed point at $N_f=6$. In the six flavor case we determine the anomalous dimension of the quark mass operator from the spectrum and find results fully consistent with earlier analyses.

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