A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
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DOI：
10.1088/1126-6708/2004/08/057
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发表时间：
2004-08
影响因子：
5.4
通讯作者：
A. C. Aguilar;A. Natale
中科院分区：
文献类型：
--
作者：
A. C. Aguilar;A. Natale
我们对朗道规范和纯规范 QCD 中的胶子和鬼传播器耦合系统的施温格-戴森方程进行了数值研究。我们表明，胶子传播器的动态质量作为解决方案而出现，而鬼传播器在 QCD 的红外区域中发展出增强的行为。提出了传播子的简单解析表达式，并研究了ΛQCD尺度的质量依赖性及其微扰尺度。我们讨论了我们的结果对耦合常数的红外行为的影响，根据传播器红外行为的拟合，这似乎表明 αs(q2)→0 作为 q2→0。
We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution while the ghost propagator develops an enhanced behavior in the infrared regime of QCD. Simple analytical expressions are proposed for the propagators, and the mass dependency on the ΛQCD scale and its perturbative scaling are studied. We discuss the implications of our results for the infrared behavior of the coupling constant, which, according to fits for the propagators infrared behavior, seems to indicate that αs(q2)→0 as q2→0.