论文标题
淬灭的三维QED中无质量传播器的四环奇异性
Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
论文作者
论文摘要
我们将三维传播器的三环校正计算为三维淬灭的量子电动力学，带有四组分的费米。三环校正是有限和规格不变的，但是四循环的校正具有奇异性，除了在Feynman仪表中也是有限的。我们的结果明确表明，最多四个循环依赖性术语是由低阶术语完全确定的，与Landau-Khalatnikov-Fradkin转换一致。
We calculate the three- and four-loop corrections to the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics with four-component fermions. The three-loop correction is finite and gauge invariant but the four-loop one has singularities except in the Feynman gauge where it is also finite. Our results explicitly show that, up to four loops, gauge-dependent terms are completely determined by lower order ones in agreement with the Landau-Khalatnikov-Fradkin transformation.
