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On the limiting behaviour of hard processes in QCD at small x

2005/10/26 by B. Blok, Blok, B., L. Frankfurt +1
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.hep-ph/0510345

openalex publication_date 2005/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

At sufficiently small x where pQCD methods become insufficient we rewrote sum of dominant Feynman diagrams for single-scale hard processes in the form of the effective field theory where a quasiparticle corresponds to pQCD ladder. We explain that pQCD series are divergent at small x since pQCD produces tachyon in effective field theory and because of degeneracy of vacua . Within the WKB approximation we found the hierarchy among quasiparticle interactions due to smallness of the QCD coupling constant which justifies restriction by the triple quasiparticle interaction in the Lagrangean of effective field theory. Degeneracy of vacua is removed by accounting for the classical solutions -kinks which cannot be decomposed into series over powers f αs but describe color inflation, Bose-Einstein condensation of quasiparticles. Quantum fluctuations around the WKB solution lead to the spontaneous violation of two-dimensional translation symmetry and the appearance of zero modes- ``phonons'' which are relevant for the black disc behaviour of small x processes. Account of gluon exchanges between overlapping ladders neglected in the first approximation produces a color network occupying a "macroscopic" longitudinal volume. We discuss briefly possible role of new QCD phenomena in the two-scale hard processes .

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