70 years of Double-Logarithmic Approximation
arXiv:2607.00771
The paper reviews the history and development of the Double‑Logarithmic Approximation (DLA) and summarizes its applications to form factors, scattering amplitudes, and deep‑inelastic scattering structure functions in QED, QCD, and electroweak theory.
Abstract
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.
21 pp, 7 figures, typos corrected, new refs added