Self-mass for a massive quark.
Self-mass for a massive quark.
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大夸克的自质量。
DOI：
10.1103/physrevd.48.4392
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
Viswanathan
中科院分区：
文献类型：
--
作者：
Huang;Viswanathan
我们研究了在QCD中，当前质量大于[Lambda][sub QCD]的夸克的自质量作为其欧几里得动量和质量的函数的行为。由于红外区被大电流质量截断，有效规范耦合很弱，与外动量无关，因此阶梯近似是合理的。基于重整化群分析，得到了Schwinger-Dyson（SD）方程的Bethe-Salpeter核的表达式。由此产生的SD方程数值求解。结果表明，由于有效的规范相互作用，零动量下夸克的组分质量大大增加。在紫外区的解与已知的渐近解吻合得很好。在固定动量下，自质量的尺度与壳层上的电流质量完全相同。
We study the behavior of the self-mass for a quark with a current mass larger than [Lambda][sub QCD], as a function of its Euclidean momentum and mass, in QCD. Since the infrared region is cut off by a large current mass, the effective gauge coupling is weak regardless of the external momentum and the ladder approximation is justified. An expression for the Bethe-Salpeter kernel of the Schwinger-Dyson (SD) equation is obtained based on a renormalization group analysis. The resulting SD equation is solved numerically. It is found that the quark constituent mass at zero momentum is substantially enhanced due to its effective gauge interaction. The solution in the ultraviolet region agrees well with the known asymptotic solution. The self-mass scales exactly as the on-shell current mass at a fixed momentum.