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arXiv 0906.4164hep-phhep-th
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关于有质量标量QED的康普顿散射顶点

On the Compton scattering vertex for massive scalar QED

A. Bashir, Y. Concha-Sanchez, R. Delbourgo, M. E. Tejeda-Yeomans

摘要:

研究了纯量量子电动力学(SQED)中带电纯量和光子的康普顿散射顶点。我们进行其非微扰的建设与Ward-Fradkin-Green-Takahashi恒等式(WFGTI),其中涉及3点顶点的4点。有一个未确定的部分,这是横向的一个或两个外部光子,并需要通过微扰理论进行评估。我们详细介绍了如何在1圈的横向部分,可以评估完全一般运动学的动量参与协变规格和尺寸。这涉及到计算真正的4点函数与三个大规模的传播,最非平凡的积分在本文中报道。我们还讨论了我们的结果可能的应用。

英文摘要:

We investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its non perturbative construction consistent with Ward-Fradkin-Green-Takahashi identity (WFGTI) which relates 3-point vertices to the 4-point ones. There is an undetermined part which is transverse to one or both the external photons, and needs to be evaluated through perturbation theory. We present in detail how the transverse part at the 1-loop order can be evaluated for completely general kinematics of momenta involved in covariant gauges and dimensions. This involves the calculation of genuine 4-point functions with three massive propagators, the most non-trivial integrals reported in this paper. We also discuss possible applications of our results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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