论文标题
Schwinger-Dyson方程的幽灵动力学
Ghost dynamics from Schwinger-Dyson equations
论文作者
论文摘要
我们通过他们所满足的Schwinger-Dyson方程讨论了幽灵敷料功能的耦合动力和幽灵 - 格鲁恩顶点。为了关闭方程系统，我们结合了Gluon传播器的最新晶格数据，并结合了一般运动学三连带顶点的近似STI衍生的ANSATZ。所得耦合系统的数值解决方案对于幽灵敷料功能和幽灵 - 葡萄糖顶点均表现出极好的一致性，并允许确定耦合常数。接下来，在软gluon中，出现在幽灵 - 基因方程中的完整三度顶点将其缩小到受晶格模拟严格限制的特殊投影。将Ghost-Gluon Schwinger-Dyson方程式用于此限制，对三胶合互动所使用的近似值提供了非平凡的一致性检查，并表明后者对Ghost-Gluon Vertex具有重要的定量效果。最后，我们的结果强调了与连续预测的晶格数据时消除伪影的重要性。
We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon propagator and an approximate STI-derived Ansatz for the general kinematics three-gluon vertex. The numerical solution of the resulting coupled system exhibits excellent agreement to lattice data, for both the ghost dressing function and the ghost-gluon vertex, and allows the determination of the coupling constant. Next, in the soft gluon limit the full three-gluon vertex appearing in the ghost-gluon equation reduces to a special projection that is tightly constrained by lattice simulations. Specializing the ghost-gluon Schwinger-Dyson equation to this limit provides a nontrivial consistency check on the approximations employed for the three-gluon interaction and shows that the latter has an important quantitative effect on the ghost-gluon vertex. Finally, our results stress the importance of eliminating artifacts when confronting lattice data with continuum predictions.
