论文标题

轻度和协变量的量子电动力学在一个循环水平上的等效性以及仪表玻色子传播器的形式

Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator

论文作者

Bhamre, Deepesh, Misra, Anuradha

论文摘要

我们考虑了QED的三个基本循环Feynman图。在光线规格中,顶点校正,费米亚自能力和真空极化,并讨论了其标准协变表达式的等效性与使用轻孔的汉密尔顿式扰动理论获得的光尾表达式。尽管我们和其他人以前已经考虑过这个问题,但本文的重点是解决有关在光量规格中使用的量规玻色子传播器的正确形式的歧义。我们概括了早期的结果,并使用一种称为渐近方法的替代方法表明,如何始终如一地整合在光前的能量中,这三个一个环校正中的每个环的协调表达都会导致传播以及光前理论的瞬时图。这样一来,我们重新建立了使用正确形式的仪表玻色子传播器的必要性。

We consider the three fundamental one loop Feynman diagrams of QED viz. vertex correction, fermion self-energy and vacuum polarization in the light-front gauge and discuss the equivalence of their standard covariant expressions with the light-front expressions obtained using light-cone time-ordered Hamiltonian perturbation theory. Although this issue has been considered by us and others previously, our emphasis in this article is on addressing the ambiguity regarding the correct form of the gauge boson propagator to be used in the light-front gauge. We generalize our earlier results and show, using an alternative method called the Asymptotic Method, how integrating over the light-front energy consistently in the covariant expression of each of the three one loop corrections leads to the propagating as well as the instantaneous diagrams of the light-front theory. In doing so, we re-establish the necessity of using the correct form of gauge boson propagator.

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