论文标题
在量规固定的阳米尔斯理论中的量规一致性上
On Gauge Consistency In Gauge-Fixed Yang-Mills Theory
论文作者
论文摘要
我们通过功能方法研究了Landau仪表理论中的BRST不变性。为此，我们解决了依赖动量的幽灵和gluon传播器，幽灵 - 格鲁恩（Ghost-Gluon）以及三和四克鲁恩顶点敷料的功能性重态化组方程的耦合系统。横向和纵向相关函数的方程式是自谐求解的：所有相关函数都被反向回路。此外，我们还使用Slavnov-Taylor身份来根据上述结果计算纵向相关函数。然后，通过比较各自的纵向相关函数来检查溶液的量规一致性。我们发现这些结果的同意很好，暗示了我们的设置的量规一致性。
We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled system of functional renormalisation group equations for the momentum-dependent ghost and gluon propagator, ghost-gluon, and three- and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.
