Department of Journal, Central China Normal University, Wuhan, Hubei PRO, People's Republic of China.
Sci Rep. 2017 Apr 3;7:45386. doi: 10.1038/srep45386.
We present a class of gauge-invariant models of quantum electrodynamics with nonlocal interaction. The models have translation, Lorentz and gauge invariance and reduce to the conventional local quantum electrodynamics under the appropriate limit conditions, both the equations of motion of the charged particle and electromagnetic field obtained by the action principle lead to the normal form of current conservation. Quantization of the models is realized by taking advantage of the formalism based on the Yang-Feldman equations and the Lehmann-Symanzik-Zimmermann reduction formulas. Finally, we employ a special choice of the models to calculate the vacuum polarization as an example to demonstrate the possibility of establishing a theory of quantum electrodynamics without divergence.
我们提出了一类具有非局部相互作用的规范不变的量子电动力学模型。这些模型具有平移、洛伦兹和规范不变性，并在适当的极限条件下简化为传统的局部量子电动力学，通过作用原理得到的带电粒子和电磁场的运动方程都导致了电流守恒的标准形式。通过利用基于杨-费曼方程和莱曼-辛曼茨基-齐曼公式的形式体系来实现模型的量子化。最后，我们选择一个特殊的模型来计算真空极化，以此为例来证明建立一个没有发散的量子电动力学理论的可能性。
