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- Title
Can 1/Nc corrections destroy the saturation of dipole densities?
- Authors
Levin, Eugene
- Abstract
In this paper we discuss a well known QCD result: the steep increase of Green's function for exchange of n BFKL Pomerons G n I P Y ∝ exp n 2 N c 2 Δ BFKL Y where N c is the number of colours ,Y is the rapidity and Δ BFKL is the intercept of the BFKL Pomeron. We consider this problem in the framework of the simple Pomeon models in zero transverse dimensions, which have two advantages :(i) they allow to take into account all shadowing corrections, including the summation of the Pomeron loops and (ii) they have the same as in QCD striking increase of G n I P Y . We found that the strength of shadowing corrections is not enough to stop the increase of the scattering amplitude with energy in contradiction to the unitarity constraints. Hence, our answer to the question in the title is positive. We believe that we need to search an approach beyond of the BFKL Pomeron calculus to treat 1 / N c corrections in Colour Glass Condensate effective theory.
- Subjects
SCATTERING amplitude (Physics); POMERONS; QUANTUM chromodynamics; GREEN'S functions
- Publication
European Physical Journal C -- Particles & Fields, 2023, Vol 83, Issue 5, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-023-11638-0