arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.04231hep-phhep-lathep-th
收藏

朗道规范屏蔽质量膨胀的单圈RG改进

One-loop RG improvement of the screened massive expansion in the Landau gauge

Giorgio Comitini, Fabio Siringo

摘要:

研究了动量减方案和屏蔽动量减方案中屏蔽质量展开的RG改进。相应的泰勒计划运行耦合示出不开发朗道极点,提供耦合的初始值是足够小的。改进后的鬼和胶子传播子的行为符合预期,表现出胶子的动力学质量产生和普通微扰理论的标准UV极限。在该方案中,当通过与固定耦合框架的匹配进行优化时,该方法被证明是一种强大的方法,用于获得与已经在一个循环中的晶格数据非常一致的传播子。优化后,胶子质量参数作为唯一的自由参数的理论,并显示出普通微扰QCD尺度$Λ_{\text{QCD}}$发挥同样的作用。

英文摘要:

The RG improvement of the screened massive expansion is studied at one loop in two renormalization schemes, the momentum subtraction (MOM) scheme and the screened momentum subtraction (SMOM) scheme. The respective Taylor-scheme running couplings are shown not to develop a Landau pole, provided that the initial value of the coupling is sufficiently small. The improved ghost and gluon propagators are found to behave as expected, displaying dynamical mass generation for the gluons and the standard UV limit of ordinary perturbation theory. In the MOM scheme, when optimized by a matching with the fixed-coupling framework, the approach proves to be a powerful method for obtaining propagators which are in excellent agreement with the lattice data already at one loop. After optimization, the gluon mass parameter is left as the only free parameter of the theory and is shown to play the same role of the ordinary perturbative QCD scale $Λ_{\text{QCD}}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑