The perturbative non-linear (NL) effects in the small-x evolution of the gluon densities depend crucially on the infrared (IR) regularization. The IR regulator, Rc, is determined by the scale of the non-perturbative fluctuations of QCD vacuum. From the instanton models and from the lattice Rc ∼ 0.3 fm. For perturbative gluons with the propagation length Rc = 0.26 fm the linear BFKL gives a good description of the proton structure function F2(x,Q2) in a wide range of x and Q2. The NL effects turn out to be rather weak and amount to the 10% correction to F2(x,Q2) for x ≲ 10−5. Much more pronounced NL effects were found in the non-linear model, described in the literature, with a very soft IR regularization corresponding to the IR cutoff at ≃Λ−1QCD The latter issue is also commented below.
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15 April 2013
DIFFRACTION 2012: International Workshop on Diffraction in High Energy Physics
10–15 September 2012
Puerto del Carmen, Lanzarote
Research Article|
April 15 2013
BFKL, BK and the infrared
R. Fiore;
R. Fiore
Dipartimento di Fisica, Università della Calabria and INFN, Gruppo collegato di Cosenza, I-87036 Rende, Cosenza, Italy
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V. R. Zoller
V. R. Zoller
ITEP, Moscow 117218, Russia
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AIP Conf. Proc. 1523, 324–328 (2013)
Citation
R. Fiore, P. V. Sasorov, V. R. Zoller; BFKL, BK and the infrared. AIP Conf. Proc. 15 April 2013; 1523 (1): 324–328. https://doi.org/10.1063/1.4802178
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