论文标题
任意$ n $ point Fermion相关器的广义LKF转换器
The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
论文作者
论文摘要
我们检查了量子电动力学（QED）中任意构型空间相关因子的非扰动量规依赖性。首先，我们使用第一种量子场理论的第一种量化方法研究了穿着的电子传播器（允许沿费米管线发射或吸收任何数量的光子），并分析由虚拟光子交换引起的仪表转换属性。然后将其扩展到$ n $ - 点函数，在该功能中，我们为这些相关器提供了完全非扰动的Landau-khalatnikov-fradkin（LKF）转换的精确版本。我们讨论了在扰动理论中应用的一些一般方面，并研究了LKF因子的结构，约为$ d = 2 $尺寸。
We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study the dressed electron propagator (allowing for emission or absorption of any number of photons along a fermion line) using the first quantised approach to quantum field theory and analyse its gauge transformation properties induced by virtual photon exchange. This is then extended to the $N$-point functions where we derive an exact, generalised version of the fully non-perturbative Landau-Khalatnikov-Fradkin (LKF) transformation for these correlators. We discuss some general aspects of application in perturbation theory and investigate the structure of the LKF factor about $D = 2$ dimensions.
