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Screened massive expansion of the quark propagator in the Landau gauge
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-19 , DOI: 10.1103/physrevd.104.074020 Giorgio Comitini 1, 2 , Daniele Rizzo 1 , Massimiliano Battello 1 , Fabio Siringo 1, 2
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-19 , DOI: 10.1103/physrevd.104.074020 Giorgio Comitini 1, 2 , Daniele Rizzo 1 , Massimiliano Battello 1 , Fabio Siringo 1, 2
Affiliation
The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge () using the screened massive expansion of full QCD and three different resummation schemes for the quark self-energy. The shift of the expansion point of perturbation theory, which defines the screened expansion, together with a nonstandard renormalization of the bare parameters, proves sufficient to describe the dynamical generation of an infrared quark mass also in the chiral limit. Analytically, the scale for such a mass is set by a mass parameter , whose value is fixed by a fit to the lattice data for quenched QCD. The quark mass function is shown to be in very good agreement with the lattice results. The quark function, on the other hand, shows the wrong qualitative behavior in all but one of the studied resummation schemes, where its behavior is qualitatively correct, but only at sufficiently high energies.
中文翻译:
筛选出朗道规范中夸克传播子的大规模膨胀
夸克传播子的红外行为在一个循环和朗道规范() 使用全 QCD 的筛选大规模展开和三种不同的夸克自能求和方案。微扰理论的膨胀点的移动,定义了屏蔽膨胀,连同裸参数的非标准重整化,证明足以描述同样处于手征极限的红外夸克质量的动态产生。从分析上讲,这种质量的比例由质量参数设置,其值由淬火 QCD 的晶格数据拟合固定。夸克质量函数显示与晶格结果非常吻合。夸克 另一方面,除了所研究的恢复方案中的一个之外,函数在所有的定性行为中都表现出错误的定性行为,其行为在定性上是正确的,但仅在足够高的能量下。
更新日期:2021-10-19
中文翻译:
筛选出朗道规范中夸克传播子的大规模膨胀
夸克传播子的红外行为在一个循环和朗道规范() 使用全 QCD 的筛选大规模展开和三种不同的夸克自能求和方案。微扰理论的膨胀点的移动,定义了屏蔽膨胀,连同裸参数的非标准重整化,证明足以描述同样处于手征极限的红外夸克质量的动态产生。从分析上讲,这种质量的比例由质量参数设置,其值由淬火 QCD 的晶格数据拟合固定。夸克质量函数显示与晶格结果非常吻合。夸克 另一方面,除了所研究的恢复方案中的一个之外,函数在所有的定性行为中都表现出错误的定性行为,其行为在定性上是正确的,但仅在足够高的能量下。