痕迹异常与动态夸克质量

Yi-Bo Yang, Jian Liang, Zhaofeng Liu, P. Sun
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引用次数: 1

摘要

我们利用具有不同夸克质量和晶格间距的手性费米子,研究了非微扰尺度下朗道规范下RI'/MOM夸克质量的起源。通过对手性和连续体极限的线性外推,证实了该质量的不消失性,并表明该质量来自于特征值为$\lambda<{\cal O}(5m_q)$的近零模式引起的自发手性对称性破断,且与迹异常的夸克矩阵元素成正比,至少低至$\sim $ 1.3 GeV。
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Trace anomaly and dynamical quark mass
We investigated the origin of the RI'/MOM quark mass under the Landau gauge at the non-perturbative scale, using the chiral fermion with different quark masses and lattice spacings. Our result confirms that such a mass is non-vanishing based on the linear extrapolation to the chiral and continuum limit, and shows that such a mass comes from the spontaneous chiral symmetry breaking induced by the near zero modes with the eigenvalue $\lambda<{\cal O}(5m_q)$, and is proportional to the quark matrix element of the trace anomaly at least down to $\sim $1.3 GeV.
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