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arXiv 1809.02553hep-th
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单圈能级上光阵面和协变量子电动力学的等价性及规范玻色子算符的形式

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

Deepesh Bhamre, Anuradha Misra, Vivek Kumar Singh

摘要:

本文讨论了量子电动力学的三个基本单圈费曼图的标准协变表达式与光阵面表达式的等价性。这三个单圈费曼图是用时间序哈密顿微扰理论得到的光阵面规范中的顶点修正、费米子自能和真空极化。虽然我们和其他人以前已经解决了这个问题,但我们在这篇文章中的重点是解决关于在光阵面规范中使用的规范玻色子传播子的正确形式的任何歧义。我们展示了如何整合的光阵面能量一致的协变表达的三个一个循环校正导致传播以及瞬时图的光阵面理论。在这样做的时候,我们重新建立了使用双横截规范玻色子传播子的必要性。

英文摘要:

We discuss the equivalence of the standard covariant expressions and light-front expressions of the three fundamental one loop Feynman diagrams of Quantum Electrodynamics viz. vertex correction, fermion self-energy and vacuum polarization in the light-front gauge obtained using time-ordered Hamiltonian perturbation theory. Although this issue has been addressed by us and others previously, our emphasis in this article is to resolve any ambiguity regarding the correct form of the gauge boson propagator to be used in the light-front gauge. We show 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 doubly transverse gauge boson propagator.

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