论文标题

标量和矢量一环大t tad them-front量规feynman积分

Scalar and vector one-loop massive tadpole light-front gauge Feynman integrals

论文作者

Suzuki, Alfredo Takashi, Suzuki, Timothy

论文摘要

轻量规是与基本相互作用的最受欢迎的量规,因为它允许其特征性的最大运动繁殖器。但是,由于其具有奇异的性质,它也是人们可以使用的最棘手的量规之一。因此,就光线的扰动计算而言,对于相关的Feynman积分,只有少数已发表的结果,主要涉及无质量积分。并且给出的大多数结果仅用于它们的不同部分,并且不知道这些结果的完全封闭形式(或与有限的部分)尚不清楚。在本手稿中,我们将负尺寸积分(NDIM)的技术用于最简单的一环大体积分,作为光范围内庞大的Feynman积分的工作台,并表明获得了以前未知的有限零件的新结果。

Light-front gauge is the most popular one to work with fundamental interactions, due to its characteristic maximum kinematical Poincare operators that it allows. However, it is also known to be one of the trickiest gauges one can work with for gauge theories, due to its singular nature. So, in terms of perturbative calculations in the light-front, there are only a few published and tabulated results for the pertinent Feynman integrals, mostly involving massless integrals. And the majority of the results given are only for the divergent parts of them and the complete closed form (or with the finite parts) of these are not known. In this manuscript, we use the technique of negative dimensional integration (NDIM) for the simplest of the one-loop massive integrals as a working bench for massive Feynman integrals in the light-front and show that novel results for the finite parts not known before are obtained.

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