论文标题
夸克差距方程的量规依赖性：探索性研究
Gauge dependence of the quark gap equation: an exploratory study
论文作者
论文摘要
我们通过用非扰动夸克 - 胶状顶点求解差距方程来研究夸克传播器在量子染色性动力学中的量规依赖性，该方程受纵向和横向斯拉夫诺夫 - 泰勒的身份的约束，该方程的限制，离散的电荷荷兰和平等符号对称性和平等阶段和Quark symartimatient和quark syloction and quark in of quark of quark of quark of the qu n of quargoncorncorment和quark in of quark in of quarks in n of qu s of qu s of qu s in nocuncorment和quark的相等量。我们在晶格QCD研究中获得的可重新分解$r_ξ$仪表中使用Gluon繁殖器。我们报告了非扰动夸克传播器对量规参数的依赖性，特别是我们观察到与量规参数成正比的增加的红外域中的质量功能，而波浪重量化在此处考虑的$ 0 \ leq了eqξ\ leq 1 $。手性夸克冷凝物显示了所研究的$ξ$区域中的温和规格依赖性。我们评论了如何在将来与QCD的广义量规协方差关系结合使用这项探索性研究。
We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the discrete charge conjugation and parity symmetries and which is free of kinematic singularities in the limit of equal incoming and outgoing quark momenta. We employ gluon propagators in renormalizable $R_ξ$ gauges obtained in lattice QCD studies. We report the dependence of the nonperturbative quark propagator on the gauge parameter, in particular we observe an increase, proportional to the gauge-fixing parameter, of the mass function in the infrared domain, whereas the wave renormalization decreases within the range $0 \leq ξ\leq 1$ considered here. The chiral quark condensate reveals a mild gauge dependence in the region of $ξ$ investigated. We comment on how to build and improve upon this exploratory study in future in conjunction with generalized gauge covariance relations for QCD.
