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双对数近似的70年

70 years of Double-Logarithmic Approximation

B. I. Ermolaev

arXiv 2607.00771首次发表:更新:

AI 中文总结

回顾双对数近似(DLA)的历史,总结其在QED、QCD和电弱理论中应用于形状因子、散射振幅和深度非弹性散射结构函数的研究。

AI 中文摘要

V.V. Sudakov于1956年发现QED中散射振幅的双对数(DL)贡献,电子-光子散射中DL贡献的总和导致了著名的Sudakov指数。随后,在V.G. Gorshkov、V.N. Gribov、G.V. Frolov和L.N. Lipatov的贡献下,构建了双对数近似(DLA)的计算模式。自此,DLA成为在QED、QCD和电弱相互作用理论框架下描述各种高能过程的基本方法之一。本文回顾了DLA的历史,并简要概述了DLA在形状因子、散射振幅、深度非弹性散射结构函数等对象中的应用。

英文摘要

Existence of Double-Logarithmic (DL) contributions to scattering amplitudes in QED was discovered by V.V. Sudakov in 1956 and total summation of DL contributions to electron-photon scattering resulted in appearance of famous Sudakov exponentials. Then, thanks to contributions of V.G. Gorshkov, V.N. Gribov, G.V. Frolov and L.N. Lipatov, the pattern of calculations in Double- Logarithmic Approximation (DLA) was constructed. Since then, DLA has become one of basic ways of describing various high-energy processes in the framework of QED, QCD and theory of EW interactions. In the present paper, we remind the history of DLA and present a brief overview of application of DLA to various objects like form factors, scattering amplitudes, DIS structure functions.

Comments21 pp, 7 figures, typos corrected, new refs added

论文原文

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